ࡱ> z  8bjbjO O 0J-a-aTz%z%z%%%%%&%GPN((v(v(v((m9L(ZO\O\O\O\O\O\O$QTfOz% mOv((P555 v(^z%(ZO5ZO55~E8 O(b\6HXFOP0GPRI U@ UOO Uz%O05OO5GP U :  Day #1: Intro to vectors, graphically adding vectors Adding vectors at right angles and finding magnitude and direction HW: Day #1 Vectors HW Problems (from this packet)  Day #2: Displacement and Average Velocity in 2D (no crooked vectors yet) Vector Components (for pure component and crooked vectors) Using Velocity Vectors in problem solving HW: Day #2 Vectors HW Problems (from this packet)  Day #3: Adding crooked vectors (both graphically and with the component-method) HW: Day #3 Vectors HW Problems (from this packet)  Day #4: Equilibrium Problems HW: Day #4 Vectors HW Problems (from this packet)  Day #5: Average Velocity, and Average Acceleration in 2D HW: Day #5 Vectors HW Problems (from this packet)  Day #6: Quiz (all vector topics thus far)  Day #7: Relative Velocity (including river problems and plane problems) HW: Day #7 Vectors HW Problems (from this packet)  Day #8: Relative Velocity HW: Day #8 Vectors HW Problems (from this packet)  Days #9 & 10: Review for Test HW: Days #9 & #10 Review For Test (from this packet) The Ultimate River Problem and the Ultimate Plane Problem  Day #11: Unit 3 TEST  A vector is a quantity with both _____________ (a size or number) and a _____________ (which way it is pointing). A scalar is a quantity with ___________ only. For example, Velocity is a vector v = 40 m/s [North 30o EAST]. Speed is a scalar s = 40 m/s. How are vector directions given?   When vectors are drawn graphically, notice that the length of the arrow used is _____________ to the magnitude of the vector (40 m/s is twice as long as 20 m/s). The table at the right lists some common vectors and scalars. Vectors can be added or subtracted. When they are, the result is another vector, known as the __________________ vector. We always add vectors __________________. Consider a person walking 40 km North and then 60 km East.  To determine the displacement of the walker, add the two vectors ____________. The resultant will be from the start to the finish of the added vectors. This is known as the resultant vector, R. I usually EMBOLDEN this vector so that it stands out.  The distance covered by the walker is _______. Note that the distance is a ________ and does not get a direction, only a magnitude. The displacement is another story. Using the ___________________, we can determine the length of the displacement (resultant). It will come out to _____________________. This is the magnitude of the displacement vector. Now we need to find the direction of the new vector. We will always describe the angle in which the vector is pointing in the ____________corner of the drawing. This is where the tail of the resultant meets a tail of one of the original vectors. This angle gives the direction of the new Resultant vector.  q Find the value of theta in the space below. If you got .9827 for your answer, your calculator is in ___________ mode. Be careful of this. We will report this answer for displacement as follows: ___________________________ This has now, both magnitude and direction. It is a complete vector. The walker was displaced this much and in this direction. Vectors may also be used to describe a summation of velocities. Consider if you jumped into a river with a current flowing to the right at 2 m/s and you swam pointing directly to the other shore, moving through the water at 6 m/s. Yes you will be blown downstream. There are two vectors involved. Your water speed 6m/s, and the current speed 2m/s.  You will move North East as shown here with respect to the shore. The angle in here will be ______________ and the hypotenuse will be __________________________. This value is known as the ___________________. Every vector can be broken down into its ____________, which are in the x & y directions. In the previous examples, the vectors used were relatively simple vectors since they were pointing in purely N,S,E, or West directions. These vectors still had both x & y components, but either their x component or their y component were _______.  Example: However, the answer to the swimming problem (the resultant vector) was crooked. It had both an x & a y component. Day #1 Vectors Problems Graphical Vectors  1. Add the two vectors at the right graphically 2. A stray dog wanders 4 km west, 2 km North, 3 km west, and finally 3 km south. Draw his journey using vectors and then draw his displacement vector and find its magnitude. 3. A plane flies 9 km north, then flies 6 km S 30o E. Draw the planes displacement vector from the start of the trip. 4. Use the vectors below to Graphically show each of the following.    a) A + E b) D + B c) 3C d) B + 2D 1D Vectors 5. A man walks 9 km east and then 15 km west. Find his distance traveled displacement 2D Vectors 6. A robin is flying south for the winter at a rate of 40 miles per hour when it runs into a hurricane blowing due west at 100 miles per hour. What is the new, resulting velocity of the robin? 7. Tarzan is hanging from one of his vines. His weight (his force) is 210 pounds, directed Southwards. A boy sees that Tarzan wants to be pushed on his vine. The boy pushes with a force of 90 pounds West. The rope can withstand a 225-lb force. What happens to the King of the Apes? (Hint: First find both the magnitude and the direction of the resultant). 8. On a television sports review show, a film clip is shown of the great tackle that ended the 1960 championship football game in Philadelphia. Jim Taylor of Green Bay was running forward down the field for a touchdown with a force of 1000 newtons (direction = South). Check Bednardek of Philadelphia runs across the field at right angles to Taylors path (direction = West) and tackles him with a force of 2500 newtons. Find the resultant of this crash. 9. A kite weighs 5 newtons (downward force). A girl throws the kite straight UP in the air with a force of 20 newtons. If the wind is blowing horizontally with a force of 20 newtons EAST, find the resultant force acting upon the kite. Find both its magnitude and its direction.  When finding displacement or average velocity in 2D, we need to remember the equations ___________ ____________ ____________ Example: A certain mans initial position is 40 m [N], as measured from his house. After 30 seconds of walking, his new position is 50 m [S]. Find: the distance travelled by the object during the trip. the mans displacement. the mans average velocity. b) A radar station is tracking a jet. Its location at a certain moment on time is 40 km [W] at an altitude of 5000 m, relative to the station. 2 minutes later, its location is 53 km [E], this time at an altitude of 3000 m. Find the jets displacement. average velocity. Resolving a vector into components Every vector can be written as a combination of only x-direction and y-direction vectors. These vectors are called the __________________ of the original vector. When a vector is broken into its components, we call this action _____________ the vector into components. For each vector below, 1st name the vector. Then resolve the vector into its components.  a) b) c) d) A bird is flying at a speed of 10 m/s at an angle of 30o below the horizontal. At what speed is the birds shadow moving relative to the ground. A small airplane takes off at a constant velocity of 150 km/h at an angle of 37o above the ground. How high above the ground is plane after 3 seconds of flight? What horizontal distance does it undergo during this time? Day #2 Vectors HW Problems 2D Vector Problem 10. The world is again being attacked by hostile aliens from outer space. This looks like a job for Superman! With his super strength, he is able to fend off the attack. However, he wants to rid the earth of these dangerous aliens forever. As they fly away, they must pass close to our sun. They are heading on a bearing of East with a speed of Worp 8. If Superman can change their course to a bearing of between [N 61o E] and [N 64 o E], they will crash into the sun. He gives them a velocity of Worp 4 on a bearing North. What happens? Has Good triumphed again? (Hint: Find the resultant worp speed and see if its direction is in the appropriate range)  Resolving Vectors into Components 11. Resolve the vector at the right into its vertical and horizontal components. 12. Resolve the following vectors into their components. a) 55 m [N 40o W] b) 0.4 km/h at 60o W of S c) 19N [SE] 13. Wonderwoman, in a feat of super strength, pulls a sled loaded with 20 kids over the sand at the beach (shes a little early for the winter but cant wait) with a force of 2,000 lbs. The rope makes a 20 o angle with the horizontal. Find the components of the rope.  14. A VW is parked on a hill with a slope of 30o. The car has a downward force of 9,000 Newtons acting on it (otherwise known as its weight). Find the component forces. (Hint: One component is parallel to the slope and the other is perpendicular to the slope). 15. A man pushes a lawn mower with a 500-newton force. The handle makes a 40o angle with the ground. Find the horizontal and vertical components of his applied force. 16. Another man pulls a wagon with his son sitting in it. The man pulls the wagon with a force of 200 N at an angle of 40o with the ground. The sidewalk provides 30 N of friction in the opposite direction of the mans motion. What is the net force on the wagon in the direction parallel to the ground? Avg Velocity Problems 17. A baseball is hit from homeplate into the outfield bleachers. It lands 135 meters from the plate, horizontally, and 10 meters vertically above the field. If the ball is in the air for 5 seconds, find: the average velocity of the ball during the trip (Both magnitude and direction). the average velocity of the balls shadow upon the field during the trip (magnitude only).  When vectors are crooked, they become slightly more complicated to add together. For example, consider a car driving 20 km [West] and then 50 km [West 30o South]. They are still added head to tail. Vectors add ________________. You could add the 20 to the 50 and get the same resultant as if you added the 50 to the 20. An efficient practice is to draw any pure N,S, E, or W vector first and then add the crooked vector. We have to break the vectors down into components. The 20 km is already fine. The 50 km must be broken down before we try to use the Pythagorean Theorem.    The 50 km vector is now represented in pure x and y values. The 20 km vector is still fine. Now we have to add up all of our x values (+ right, - left) and all of the y values (+ up, - down).  x: y:  Now, recombine the x and y: Note that the 63.3 means the vector should point left and the 25 means the vector should point down. Next, the resultant may be drawn in.  q =  Dd =  or To give the proper direction (South 21.6o West or West 21.6o South) you must follow the component of the vector whose direction you are giving. Notice that we could have added the components in either order, thereby getting two different answers. The angle included in the directions is always the angle included between the starting component and the resultant. Practice: Name each resultant vector below in two (2) different ways.    Go back to the example where we started with the resultant drawing of     We will now enclose the drawing to the right in a rectangle.   Calculating the magnitude of the resultant, we get _________________. We have a choice for describing the angle of direction, either a or q. a = q = We could report our answer one of two ways: _______________________ or ____________________________ In-Class Examples When adding crooked vectors, we use the following procedure: Draw all the vectors appropriately. Resolve each vector into its components. Add the x-components together (making sure to keep track of signs), yielding SUPER-X. Add the y-components together (making sure to keep track of signs), yielding SUPER-Y. Use SUPER-X and SUPER-Y to construct a SUPER-TRIANGLE. Find the resultant (magnitude and direction) of the SUPER-TRIANGLE. A box is pulled with forces of 45 N [W], 100 N [W 40o N] and 200 N [E 20 o S]. Find the net force on the box. A stationary quarterback is hit simultaneously by 3 defensive players. They hit him with forces of 300 lb [W 20o S], 400 lb at 50 o North of East, and 200 lb [N]. Which direction will the quarterback move after this collision? Three vectors are acting on a box, yielding a resultant force of 80 Newtons [N]. Two of the vectors acting on the box are 5 Newtons [S] and 42 Newtons [SW]. Find the 3rd force. Day #3 Vectors HW Problems 18. Two ants at a picnic find a small piece of cake. Each picks up the cake and tries to carry it home. The first ants home is at a bearing of [W 15o N] and he pulls with a force of 10 dynes. The second ants home is at a bearing of [S 15o W] , and he pulls with a force of 13.5 dynes. In which direction will the cake travel? 19. Linda is pulling a sled with a force of 20 pounds and is heading on a bearing of N30( E. Elaine begins to pull the sled with a force of 15 pounds on a bearing of N5( W. What net force is exerted on the sled and in which direction does it go? 20. Find the resultant of a 120-Newton force North and an 80 Newton force at N45( E. 21. Two water skiers are being pulled by a boat. The first skier exerts a force of 300 pounds North on the boat; the second skier exerts a force of 400 pounds at N75( E. Find the resultant of the two forces. 22. Three brothers are playing at the local playground with a frisbee. Each grabs it at the same time. Robbie grabs it at the N63( E point and exerts a force of 100 pounds on it. Chip grabs it at the N27( W point and exerts a force of 100 pounds on it. Ernie pulls with 141.4 pounds at the S18( W point. Who gets control of the frisbee? 23. Back to problem #18. If a third ant started pulling on the piece of cake, what would his force have to be in order to keep the cake from moving? In other words, what 3rd force would make both the x and y-components sum to zero.  Equilibrium Problems are problems in which an object _________________________. In these problems of values of the x-components of all the vectors involve sum to _______. This is also true for the sum of the values of the y-components. Examples: Four forces pull on an object, and the object doesnt move. The first three forces are 40 N [E], 65 N [W 50o S], and 80 N [N 10o W]. Find the magnitude and direction of the 4th force. The Great Houdini, in one of his death-defying acts, was suspended from a flagpole while tied in a strait jacket. The flagpole is supported by a cable which makes a 60o angle with the pole. What is the actual weight that the pole is supporting if the force on the cable is 750 lbs. (Maybe Harry should go on a diet!!!!)  c) A traffic light is supported by two cables that are 140( apart. Each cable exerts a force of 150 Newtons on the light. How much does the light weigh? (Think of the weight of the light, the downward force, as the equilibrant.) Day #4 Vectors HW Problems 24. Four boys are playing tug-o-war. Three are pulling with forces of 7 Newtons [N], 17 Newtons [S], and 41 Newtons [S]. If the rope is not moving, find the force of the fourth boy. 25. Three forces act on an object, which is equilibrium. The first two forces are 60 lbs [NW] and 33 lbs [E]. Find the 3rd force. 26. A speaker in the auditorium is supported by two cables that are 120( apart. If the speaker weighs 200 Newtons, find the tension in each of the cables. (Hint: Look at example problem c above to get a general problem solving strategy.) 27. What is true of the sum of the x-components of the vectors that act on an object that is in equilibrium? 28. Twenty forces act on an object that is in equilibrium. If the vector sum of the first nineteen forces is 4500 N [E 20 N], find the magnitude and direction of the twentieth force. 29. Three vectors are added together and the resultant is 50 km [W]. The first two forces are 30 km [E] and 65 km [SW]. Find the magnitude and direction of the 3rd force.  When finding the change in velocity or average acceleration in 2D, we need to remember the equations ____________ ____________ Examples: A ball is thrown at a wall at a speed of 30 mph. It loses some of its energy in the collision, and bounces off the wall at a speed of 25 mph. If the ball deformed during the collision and was in contact with the wall for 30 ms, find the average acceleration of the ball during the collision. A hockey puck hits the boards with a velocity of 10 m/s E20( S. It is deflected with a velocity of 8.0 m/s at E24( N. If the time of impact is 0.03 s, what is the average acceleration of the puck? Day #5 Vectors HW Problems A man was travelling West at 4 m/s is now travelling East at 9 m/s. Find his change in velocity during this timer period. Do problem #30 again, this time assuming that the mans final velocity is 9 m/s North. An object travels west @ 90 m/s. It changes direction (in 5 seconds) and then travels @ 100 m/s [N 30o E]. Find the average acceleration of the turn. A boy travels @ 10 m/s [S] for 1 minute and then @ 5 m/s [W 10 o N] for 2 minutes. Find his average velocity for the trip. A man travels 10 km [N], then 50 km [E 30 o S], then 100 km [W], and finally 30 km [W 40 o S]. If the trip takes 4hrs, find the: distance traveled. displacement for the entire trip difference between the magnitudes of  EMBED Equation.3  and  EMBED Equation.3 . An object once moving at a velocity of 15 m/s [S] is now moving at a velocity of 25 m/s [E], 15 seconds later. Find the objects change in velocity during the period of time as well as its average acceleration.  Relative Velocity  Example: A man is standing on a riverboat next to his wife. The boat is moving down a river without propelling itself, using only the currents speed, which is 50 ft/min. The man starts jogging towards the front of the boat with a speed of 100 ft/min. During his jog, a smaller speedboat, traveling at 150 ft/min (relative to the water), passes the boat (in the same direction). A bird is sitting on the shore, watching the whole situation unravel. What is the mans velocity (relative to the bird) when he is running? _____ What is the mans velocity (relative to his wife) when he is running? _____ What is the mans velocity (relative to the speedboat) when he is running? _____ What is the wifes velocity relative to the bird? _____ What is the wifes velocity relative to the speedboat? _____ Example: Two cars are moving towards each other on a highway. Car A moves East at 60 mph, while car B moves West at 50 mph. Find the velocity of car A with respect to . a) car B ______ b) a bird sitting on the side of the highway ______ c) a boy in the backseat of car A ______ The Relative Velocity Equation         Example: A boy sits in his car with a tennis ball. The car is moving at a speed of 20 mph. If he can throw the ball 30 mph, find the speed with which he will could hit his brother in the front seat of the car. A sign on the side of the road that the car is about to pass. A sign on the side of the road that the car has already passed. River Problems A 20 m wide river flows at 1.5 m/s. A boy canoes across it at 2 m/s relative to the water. a) What is the least time he requires to cross the river? How far downstream will he be when she lands on the opposite shore (assuming he tries to cross in the least amount of time)? c) What will his velocity relative to the shore be as he crosses? A river is 20 m wide. It flows at 1.5 m/s. If a girl swims at a speed of 2 m/s, find: the time required for the girl to swim 15 m upstream (assuming she points the canoe directly upstream). the time required for the girl to swim 20 m downstream (assuming she points the canoe directly downstream). the angle (between the swimmers path and the shore that the girl should aim when crossing the river if she wants to arrive at the other side directly across from her starting point. How long will it take to cross the river in this case (the case where the girl adjusts for the current by pointing herself upstream) Days #7 & #8 Relative motion HW Problems Level I Car A is driving at a speed of 30 mph to the right. Car B is driving at a speed of 40 mph to the left. The cars are moving toward each other. What is the velocity of . car B with respect to car A? car A with respect to car B? car A with respect to a police officer parked on the side of the road? Car A with respect to someone in the passenger seat of car A? A boy is sitting on an airplane (made entirely of see-thorough plastic) that is travelling west at 300 mph. He throws a ball toward the back of the plane. If he throws the ball at 30 mph, what is the velocity of the ball relative to a boy sitting in back of him on the plane? a boy sitting on the ground watching the event from a lawn-chair? A 30 m wide river flows at 1 m/s. A girl swims across it at 2 m/s relative to the water. a) What is the least time she requires to cross the river? b) How far downstream will she be when she lands on the opposite shore? c) If the girl puts her head down and tries to swim straight across the river, at what angle relative to the shore will she actually travel? What will be her speed relative to the shore? A plane is flying through the air at a speed of 400 mph [E] when it encounters a 50 mph wind that is pointing North. Find the planes velocity with respect to the ground while it fights the wind. Delivering a paper, a paper boy is riding his bicycle with a velocity of 12 m/s [E]. If he throws the paper with a velocity of 20 m/s [N], what will be the velocity of the paper with respect to the ground? A field goal kicker attempts a field goal. He kicks the ball with a velocity of 25 m/s directly North toward the goal post. However, there is a wind blowing in the stadium from east to west with a velocity of 6 m/s. What will be the velocity of the ball with respect to the ground? Level II 42. A 70 m wide river flows at 0.80 m/s. A canoeist (who can paddle the canoe at 2.4 m/s in still water) sets out from shore. At what angle to the shore would the canoe have to aim, in order to arrive at a point directly opposite the starting point? How long would this trip take? 43. An airplane maintains a heading due West at an air speed of 900 km/hr. It is flying through a hurricane with winds of 300 km/hr [S45( W]. a) Find the planes velocity (magnitude and direction) relative to the ground. b) How long would it take the plane to fly 500 km along the path in part a? 44. A river is 50 m wide. It flows at 2 m/s. If a canoeist can paddle at a speed of 5 m/s, find: the time required for the canoeist to paddle 20 m upstream. the time required for the canoeist to travel 100 m downstream. the angle (between his canoe tip and the shore) that a canoeist should aim when crossing the river if he wants to arrive at the other side directly across from his starting position. 45. A plane has an airspeed of 100 m/sec. The pilot notices that although he was headed due East, a wind of 80 m/s North is pushing the plane. What is the planes velocity relative to the ground? 46. A canoeist paddles north across a river at 3.0 m/s. (The canoe is always kept pointed at right angles to the river.) The river is flowing east at 4.0 m/s and is 100 m wide. a) What is the velocity of the canoe relative to the river bank? b) Write the relative velocity equation that was used to solve part a. c) Calculate the time required to cross the river. d) How far downstream is the landing point from the starting point? 47. A boat which can travel at 5 m/s in still water attempts to cross a river by aiming straight across. It takes the boat 20 seconds to cross the river and the boat lands 10 meters downstream. Find. the width of the river. the speed of the current. the speed that the boats speedometer will read during the trip. the angle relative to the shore that the boat should point itself so that it actually travels straight across. the time the trip in part d will take to cross the river. Level III 48. While standing in the pocket in Sundays big game, Donovan McNabb throws a pass downfield. He can throw the ball with a velocity of 22 m/s. If he wants the ball to go directly South to the end zone, which way (a specific direction) should he throw the ball if there is a wind blowing from east to west with a velocity of 8 m/s? 49. A kayak can move at a speed of 5 m/s in still water. How long will it take the kayak (roundtrip) to travel 100 meters upstream and then back to its starting position if the speed of the current is 3 m/s? 50. A plane is flying with an airspeed of 200 mph [N]. It encounters wind that changes its course, causing it to travel at a speed of 230 mph in a direction [N10oW]. Find the magnitude and direction of this winds velocity. Days #9 & #10 - Review for Test What is a vector. Fully explain in words. Find the resultant vector of each set of vectors below. 45 lb [E] & 70 lb [ N] 105 m/s [S] & 200 m/s [E 40o N] 80 km [N 20o W] & 350 km at 70 o south of west If a man walked 80 m South in 2 min and then 40 m West in 1.5 minutes, find his: average speed b) average velocity Find the change in velocity vector for an object that was traveling at 50 mph due east and is now traveling 30 mph due west. Find the average acceleration of an object that took 5 seconds to change its velocity from 60 m/s [S] to 70 m/s [E 20o N]. If two people pull an object with forces of 200 Newtons [S 50o E] and 150 Newtons [N 10o W], what force would a 3rd person have to pull in the direction [S 40o E] in order to keep the object from moving North or South? (It can move East or West, but not North or South). Describe in words what must be true for an object to be in equilibrium. Refer to the forces that are acting on the object. A man pushes a box with a force of 100 lb at an angle of 40o above the horizontal. Another man, on the other side of the box, pushes back on the the box with an unknown force at angle of 20o above the horizontal. The box doesnt move. What is the unknown force? Adam takes Carlys hat and throws it 10 m [West] to Amanda who throws it to 5 meters [South] to Rachel, who finally throws it 6 meters [SouthEast] to her teacher. Determine the displacement of the hat. A passenger wishes to throw a soda bottle at 8 m/s into a trash can located 24 meters from the side of the road while continuing to drive at 4 m/s. If the passenger releases the bottle perpendicular to the path of the car, how far (distance) in advance should she release the bottle? The ULTIMATE river problem  A river is 100m wide. The current is flowing at 3 m/s. Canoeist Bob paddles at 5 m/s, canoeist Joe paddles at 4 m/s, and canoeist Sally paddles at 6 m/s (all relative to the water). If Bob tries to cross the river perpendicularly, how long will it take him? How far downstream will Bob land after crossing the river? What is Bobs velocity relative to the shore? Write the relative velocity equation.  If Joe wanted to cross the river and land at a point directly across from his starting point, what direction (relative to the shore) would he aim his canoe? How long would it take Joe to cross the river (and land at a point directly across from him)?  How long will it take Sally to canoe 50 m upstream? What is Sallys velocity relative to a bird sitting on the shore (assuming she is still going upstream)? If Bob paddles for 50 seconds downstream, how far will he travel (relative to the shore)? If Sally (paddling upstream) passes Bob (paddling downstream), what is Sallys velocity relative to Bob? What is Bobs velocity relative to Sally? If Joe and Sally set out together on a trip downstream, what would Sallys velocity be relative to Joe? What would Joes velocity be relative to Sally?  If Joe wanted to canoe 200m upstream and then back to his starting point, how long would it take him? CHALLENGE (dont get discouraged.its not easy.and its much too hard for the test): If Sally wanted to cross the river (in a straight line) and land at a point 20 m downstream, what is the angle that she should point herself relative to the shore?  The ULTIMATE plane problem  On a certain night, the wind is blowing from the west at 50 km/h. A Boeing 747 flies with an airspeed of 800 km/h due North while a small private plane flies at 300 km/h at a heading of [W 40o S]. Find the velocity of the Boeing 747 with respect to the ground. Write the relative velocity equation for this situation. What distance will the plane cover if it flies for 2 hours? If it wanted to head due North, how far off course will it be after these 2 hours? What angle should the pilot redirect the plane in order for the plane to head due North? ~~~~~~ Find the velocity of the private plane with respect to the ground. How long will it take for the plane to fly 1000 km (relative to the ground) in a straight line? ~~~~~~ Challenge (again, dont get discouraged.its not easy): Find the velocity of the Boeing 747 relative to the private plane. (Hint: Start off by writing a relative velocity equation. Then, use your answers from parts a and f above)   2) 7.07 km 5) a: 24 km b: 6 km [west] 6) 108 mi/hr @ [S 68( W] or [W 22( S] 7) 228 lb. @ [S 23( W] or [W 67( S] 8) 2693 N @ [W 22( S] or [S 68( W] 9) 25 N @ 53( from vertical or 37( from horizontal 10) 8.94 worps @ [N 63( E] or [E 27( N] 11) x: 34.47 km; y: 28.93 km 12) -35.353 m, 42.132 m; -.35 km/h, -0.2 km/h; 13.44 N, -13.44N 13) Horizontal = 1,879 lbs Vertical = 684 lbs 14) Parallel = 4,500 N Perpendicular = 7,794 N 15) 321.4 N [downward], 383 N [in motion direction] 16) 123.2 N [in motion direction] 17) 27.1 m/s [( 4.2o up], 27 m/s 18) [W 39o S] 19) 33.4 lbs. @ [N 15( E] 20) 185 N @ [N 18( E] 21) 559 lbs. @ [N 44( E] 22) Nobody get the frisbee. It doesnt even move! 23) 16.8 dynes [E 39o N] 24) 51 N [N] 25) 43.46 lb [E 77.5o S] 26) 200 Newtons 27) the sum is zero 28) 4500 N [W 20 S] 29) 57.2o [W 53.5o N] 30) 13 m/s [E] 31) 9.85 m/s[N 24o E]  32) 32.92 m/s2 at 31.7o N of E 33) 4.285 m/s @ 40o S of W 34) 190 km, 86.74 km [W 23.3o S] Savg = 47.5 km/h, Vavg = 21.7 km/h, diff = 25.8 km/h 35) 29.155 m/s [E 31o N], 1.94 m/s2 [E 31o N] 36) 70 mph [L]; 70 mph [R]; 30 mph [R]; 0 mph 37) 270 mph [forward] 38) 15 sec; 15 m; 2.24 m/s; DS 63.4o Across 39) 403.1 mph [E 7.13o N] 40) 23.3 m/s [E 59 o N] 41) 25.7 m/s [N 13.5 o W] 42) U 70.53 o A; 30.97 sec 43) 1132.2 km/h [S 79 o W]; 0.44 h 44) 6.67 sec; 14.29 sec; U 66.4 o A 45) 128.06 m/s [E 38.7 o N] 46) 5 m/s [A 53.1 o DS]; 33.3 sec; 133.3 m 47) 0.5 m/s; 100m; 5.03 m/s [A 5.7 o DS]; [U 84.3 o A]; 20.1 sec 48) [S 21.3 o E] 49) 62.5 sec 50) 47.9 mph [N 56.4 o W] A quantity with both magnitude and direction. 83.2 lb [E 57o N], 155 m/s [E 8.7o N], 293 km [W 60o S] 0.57 m/s, 0.43 m/s [S 27o W] 80 mph [W] 21.2 m/s/s [E 52o N] 25 Newtons x-components must cancel; y-components must cancel 81.5 lb 10.9 m [W 58o S] 12 m up road (before the trashcan is encountered Accelerated Physics Unit 3: Vectors Vectors Day #1 30o 40 m/s 60o 20 m/s 10o 10 m Vectors Scalars + = + = 5 km 3 km 10 m/s 5 m/s 40 km 60 km 40 km 60 km Resultant vector 40 km 60 km Vectors to be added together We use _______ alphabet symbols to represent angles as variables and regular lowercase letters such as x, y, z, etc to represent numbers as variables. To find q, we must use trigonometry ( ____ ____ ____ ) Current speed (2 m/s) Water speed (6 m/s) Notice how the vectors were arranged __________. q Resulting velocity 6 m/s 2 m/s  50 m/s 20 m/s A B C D E Vectors Day #2 50o 20o 50 m/s 60 km 3 N 40o 45 km 30o Vectors Day #3 Component Method Method I 30o + 50 20 (the zero is to remind you that the first vector had no donation to the y) 63.3 25 63.3 68.1 km 25  EMBED Equation.3  20o 46.2o 7 m/s 12 ft Method II Graphical Method 20 km + 300 = 50 km 20 km 50 km 50 sin 30 50 cos 30 20 300 R y x   % & ' . E G { | }     ̼tdttUth.Sh?~CJOJQJaJ hDh?~5CJOJQJaJ h?~CJOJQJaJ -jh?~>*CJOJQJUaJ mHnHu*jh?~CJOJQJUaJ mHnHuhDh?~CJOJQJaJ hDh?~>*CJOJQJaJ h=SCJ,aJ,3jhDh=S>*CJOJQJUaJ mHnHu"jh=SCJ,UaJ,mHnHu!8|}: e g % ' E F { }  b ]^ `gd?~ b ^ `gd?~ b|]|gd?~ b| ]|^ `gd?~    f g  H K gd?~gd?~ b|]|gd?~ b ]^ `gd?~ b| ]|^ `gd?~ # $ % f g r s  DZǢǁwcw_h?~&jh?~CJOJQJUmHnHuh?~CJOJQJh]h?~CJOJQJ&jh?~CJOJQJUmHnHuh.Sh?~CJOJQJaJ *jh?~CJOJQJUaJ mHnHuhDh?~CJOJQJaJ h?~CJOJQJaJ hDh?~>*CJOJQJaJ h?~>*CJOJQJaJ #  # K p q b>G}棔n^^nTh?~CJ OJQJh[h?~56CJOJQJ"jh?~OJQJUmHnHuh?~CJaJh?~CJOJQJaJhAfh?~CJOJQJaJ*jh?~CJOJQJUaJmHnHu&jh?~CJOJQJUmHnHuh?~CJH*OJQJh uh?~5CJOJQJh?~CJOJQJh?~h/`h?~56>*K L dhgd?~$ ^]a$gd?~$a$gd?~gd?~$a$gd?~dhgd?~vx ()^gd?~gd?~$a$gd?~VW  ,-yӿӵӿӬvvng]gvg]ggghh?~5>* hh?~hoh?~H*jh?~UmHnHu jh?~5>*UmHnHu h?~5>*h?~h0h?~5CJ(aJ(h?~5CJ(aJ(h?~CJOJQJ&jh?~CJOJQJUmHnHuh?~CJOJQJ!hh?~B*CJOJQJph!h*Jh?~B*CJOJQJph$)UVXbcdef CDEFGH>]^`>gd?~gd?~ &dPgd?~$a$gd?~gd?~Hstu>?R & F *"`"gd?~^gd?~$a$gd?~gd?~ h^h`gd?~_`jklm 23Vdq!r!!!"""""I%l%m%&&&ĻĻĻĻĻĻĻĻĻĻĻĻxjh1h?~H*OJQJaJh1h?~OJQJaJh1h?~OJQJhpfh?~CJ$OJQJ&jh?~CJOJQJUmHnHuh?~CJOJQJh:h?~aJ h?~aJh@]%h?~CJaJh:h?~5>* h?~5>*h?~CJaJ h:h?~h?~ hh?~)R_`kl12p!q!"""""######$a$gd?~ $ & Fa$gd?~$a$ >^`>gd?~gd?~ & F *"`"gd?~###$$$$$$$$$%%(%:%;%<%=%>%?%@%A%$a$ & Fgd?~ $ & Fa$gd?~ *^*`gd?~gd?~ & Fgd?~ $ & Fa$gd?~A%B%C%D%E%F%G%H%I%l%m%~&&&&&&&&&&&&&&&&&gd?~ $dha$gd?~$a$&&&&&&&&&&8'9'''''''}(~(((((((((((ʿ}q}q}qm_Wh?~CJaJh!Ch?~5>*CJaJh?~h0h?~5CJ(aJ(h?~5CJ(aJ(h?~OJQJaJ(h1h?~H*OJQJaJ(h1h?~OJQJaJ(h!Ch?~H*OJQJh?~OJQJh1h?~OJQJh1h?~aJjh?~UaJmHnHuh1h?~5>*OJQJaJh1h?~OJQJaJ&&&&'''''''''''{(|(}(~((($a$gd?~gd?~8^8gd?~ & Fgd?~$a$gd?~ $8^8a$gd?~$^`a$gd?~$a$(((((O+Q+R+t+u++++,,5$7$8$9DH$gd?~l%0>5$7$8$9DH$^`>gd?~l%0& >5$7$8$9DH$]^`>gd?~l%0 >^`>gd?~gd?~gd?~ &dPgd?~(]*^*k*m***O+P+R+t+u+w++,,+,,,B,C,E,--Q-R-S-U-------Z.\.^.`... / ///;0=0S01h!Ch?~5>*CJaJ"jh?~CJUaJmHnHuh!Ch?~CJH*aJh@]%h?~5>*CJaJ(jh@]%h?~CJUaJmHnHuhM]h?~6CJaJh?~CJaJh@]%h?~CJH*aJh@]%h?~CJaJ.,B,C,Q-S-].^./ /<0=0S0T0U0%1&1w11 & Fgd?~l%0>^`>gd?~l%0gd?~l%0>5$7$8$9DH$^`>gd?~l%05$7$8$9DH$gd?~l%0111r2s2!4$4%4&4-40484G4H455556666666666L7`7b7r7t7ڻڭڗڻڻڃyڻoڻbTbh*xh?~CJH*OJQJh*xh?~CJOJQJh?~CJOJQJh?~CJ OJQJ&jh?~CJ OJQJUmHnHuh?~CJH*OJQJ h?~5\h?~jh?~UmHnHu&jh?~CJOJQJUmHnHuh?~CJH*OJQJh?~CJOJQJh?~CJaJ%jh?~5CJ(UaJ(mHnHu 111!4%404?4H4R4S45505555555666666 $`a$gd?~$a$>^`>gd?~l%067788A9C9D9E9F9G9I9K9L9M999999999*:.:~:::$a$gd?~gd?~$a$t7777A9B9G9H9I9J9K9L9M9999999999999*:,:~::;;;;;<i<|<}<\=͹͹ͫͧ͹͹͹͹͹͹̈́̈́̈́|tgh^-vh?~OJQJaJ(h?~CJaJh?~CJ(aJ(h?~CJOJQJ"jh?~OJQJUmHnHu h+(h?~h?~jh?~UmHnHu&jh?~CJOJQJUmHnHuh?~CJOJQJh?~B*CJOJQJphh*xh?~CJH*OJQJh*xh?~CJOJQJ&::R;T;;;<<i<|<}<<<<=^===/>0>1>2> & Fgd?~$a$gd?~gd?~ $dha$gd?~ $`a$gd?~$a$ $ %a$gd?~\=]=====->.>/>Q>[>\>g>h>{>}>>>??&?'?8?:?????'@(@)@/@<@B@T@V@]@^@_@`@q@x@@@@@@@騝h?~h0h?~5CJ(aJ(h?~5CJ(aJ(h?~5OJQJaJ(h^-vh?~5OJQJaJ(h^-vh?~H*OJQJaJ(h?~OJQJaJh^-vh?~H*OJQJaJh^-vh?~OJQJaJh^-vh?~OJQJaJ(h?~OJQJaJ(/2>>>>>>>>>>>>>>>>>>?????????? ^ gd?~gd?~ & Fgd?~????????^@_@`@a@b@c@d@e@f@g@h@i@j@k@l@m@n@o@p@$a$gd?~gd?~ & Fgd?~ ^ gd?~p@q@@@@@AABB,C-CDDXEYEDFFF4G5G6G@Gvdh^v`gd?~ v^v`gd?~ ^`gd?~ >^`>gd?~ &dPgd?~gd?~@@@@'A(AAAAA5B6BBBBBBB'C(C.C/CCCDDDDDD+E,EWEF FCFDFEFFFFF4G6GAGGꪞxh?~OJQJaJhKh?~OJQJaJh1lh?~CJOJQJaJh?~CJOJQJaJ"jh?~CJUaJmHnHuhM]h?~CJH*aJ jh@]%h?~CJaJh@]%h?~CJH*aJh?~CJaJh@]%h?~CJaJh?~5>*CJaJ,@GAGGGGGGHHHHHHHHH H H H H HH5$7$8$9DH$^gd?~l%0 & F25$7$8$9DH$]2gd?~l%0 v^v`gd?~GGGGGGGG HHHHTIUIVIZI[IcIdIeIIIPJdJkJsJvJ}J~JJJumdXdXdXTh?~h0h?~5CJ(aJ(h?~5CJ(aJ(h?~CJaJ jhKh?~OJQJaJhKh?~5>*OJQJ(jhKh?~OJQJUmHnHuhKh?~OJQJhKh?~H*OJQJaJhKh?~OJQJaJhM]h?~OJQJaJh?~OJQJaJh[^h?~H*OJQJaJh[^h?~OJQJaJHTIUIWIXIYIZI[I\I]I^I_I`IaIbIcIdIMJNJOJPJQJ v^v`gd?~ ^`gd?~gd?~gd?~l%0 & F5$7$8$9DH$gd?~l%0QJRJSJTJUJVJWJXJYJZJ[J\J]J^J_J`JaJbJcJdJJJJJ:K >^`>gd?~ &dPgd?~gd?~ v^v`gd?~JJJJJ?KKKKKLLLLLL MNNNNNNO!OZP[P\PaPePfP׽ײ}pfpfpO,jhKh?~OJQJUaJmHnHuh?~OJQJaJhKh?~OJQJaJh?~CJOJQJ"jh?~CJUaJmHnHuh]h?~CJH* h?~CJh]h?~CJhp8h?~CJaJ jh]h?~CJaJh]h?~CJH*aJh]h?~CJaJh?~CJaJh@]%h?~CJaJh?~5>*CJaJ:K;KKKLL+M,MMMNNNNNOO O!O-O.O/OUP & Fgd?~$a$gd?~ v^v`gd?~ h^h`gd?~gd?~ >^`>gd?~UPVPWPXPYPZP[P\P]P^P_P`PaPbPcPdPeP-Q8Q9Q:Q;QQZQgd?~ v^v`gd?~ & Fgd?~^gd?~fPPPPP7Q9QQFQNQQQXQYQZQ[Q\Q]Q1RRRRRRR SSJSKSLSvSxSSSSSS)Tĸĸĸͭwkwkw``h]h?~CJaJhph?~CJH*aJhph?~CJaJhg.h?~CJH*aJhg.h?~CJaJhBXRh?~CJH*aJh?~CJaJhBXRh?~CJaJh0h?~5CJ(aJ(h?~5CJ(aJ( h?~5>*h?~hKh?~OJQJ jhKh?~OJQJaJhKh?~OJQJaJ%ZQ[Q\Q]QQQ0R1RRRKSLSSSST_T`T5U6U8U9ULUNU^gd?~ & F gd?~h^hgd?~ & Fgd?~gd?~ &dPgd?~)T*T=T>T?T@TFTGTZT[T\T]T5U6U7U8U9ULUMUNU尟}kYA6hKh?~OJQJ/jhKh?~>*OJQJUaJmHnHu"hKh?~5>*CJOJQJaJ("hKh?~5>*CJOJQJaJ*jh?~CJOJQJUaJmHnHuh?~CJOJQJaJ!jh]h?~CJEHUaJ#jIAJ h]h?~CJUVaJ!jh]h?~CJEHUaJ#jJAJ h]h?~CJUVaJh]h?~CJaJjh]h?~CJUaJNUVUXUWW~XXXX=YFYxYYYYYYYYYYYYYYYYYYYYYYYYZZX[Y[h[\\\\乯||||||||n䜧hKh?~5OJQJaJhKh?~OJQJ(jhKh?~OJQJUmHnHuh@h?~CJaJh?~CJaJh?~OJQJaJhbh?~OJQJaJhKh?~6OJQJ]hKh?~6OJQJ]aJhKh?~OJQJaJhKh?~>*OJQJaJ+NUWWdWeWWWXX?X@X~XXXXFYYYYgd?~ & F8^8`gd?~ & F8^8`gd?~ & F8^8`gd?~ & F8^8`gd?~ & F8^8`gd?~ 8^8`gd?~YYYYYYYYYYYYYYYYYYYYYYZZZ & F gd?~ ^`gd?~^gd?~ &dPgd?~gd?~ZZZZZZ[[[[[[X[Y[h[i[[[\\\\\\ & F n*]n^*gd?~n*]n^*`gd?~h^hgd?~ & F gd?~gd?~\\\\\\'](])]]]]]^^^^^^B_ D8]D^8gd?~ & F 8D8]D^8gd?~ Dh]D^hgd?~ D]D^gd?~ & F D]Dgd?~gd?~\^^^^B_C_D_E_R_b_e_l_m_n_q_z__`(`)`aabbddfffffggWhXhƻwowowowowowfwowowX jh#h?~CJaJh?~>*CJaJh?~CJaJh#h?~CJaJh#h?~>*CJaJh?~h6h?~5CJ(h0h?~5CJ(aJ(hh?~5CJ(h?~5CJ(aJ(h?~5>*CJaJh@]%h?~CJaJh@h?~CJaJh?~OJQJaJh6h?~OJQJaJhKh?~OJQJaJ"B_C_D_E_n_o_p_q_z_|_)`*`G`d````aabEb & F gd?~ & F!gd?~^gd?~ & F%gd?~ &dPgd?~gd?~$a$gd?~Dv]D^v`gd?~EbFbbbb)ccccddeeffffgg]h^hh P^`Pgd?~ ^`gd?~ ^`gd?~^gd?~ & F%gd?~gd?~Xh^hehhh iiiijjukwk4l5l8l9lzl}lllllLmNm'n(nGoNoRoSoTo]opq[r\rrrrrrrrr#s$sWsXsgs÷~hFh?~H*OJQJh?~OJQJhFh?~OJQJh:h?~OJQJh?~5>*CJaJh?~h:h?~5CJ(aJ(h?~5CJ(aJ(h#h?~CJH*aJh?~>*CJaJh#h?~>*CJaJh?~CJaJh#h?~CJaJ1h iiiiiiuiviiijjtkukk5l6lzlllDm ^`gd?~^gd?~ >^`>gd?~ & Fgd?~h^hgd?~gd?~`gd?~DmEmm(n)nAn[nn oGoHoSoToo3ppppqqrr *^*`gd?~ |^`|gd?~ h^h`gd?~ & F"gd?~gd?~^gd?~rrrrrrr$s%s{ǻuiuiuh?~CJOJQJaJhCh?~CJOJQJaJ*jh?~CJOJQJUaJmHnHu"hCh?~56CJ0OJQJaJ0hCh?~CJ0OJQJaJ0h?~CJ0OJQJaJ0h?~(jhFh?~OJQJUmHnHuh?~OJQJhFh?~OJQJhFh?~H*OJQJ%tttt vvvvwwbxcxyyyyyyczdzzz{?{ & Fgd?~gd?~ vR`Rgd?~ & F' vR`Rgd?~ hvR`Rgd?~>{?{@{=|>|?||||||c~d~e~~!G\uyɽɽɽɽɽɞucuu"hCh?~56CJ0OJQJaJ0hCh?~CJ0OJQJaJ0h?~CJ0OJQJaJ0jh?~UmHnHuh?~hBhBCJOJQJaJhBCJOJQJaJh?~CJOJQJaJhCh?~CJOJQJaJ0jhCh?~CJOJQJUaJmHnHuhgp h?~CJOJQJaJ?{A{B{C{{>|@|A|B|v||9}}}4~d~f~g~h~~ & Fgd?~gd?~0:p Ńƃ̃̓΃σЃ޿޿޲ޜޘrd[T[TJ jhrRh?~ hVh?~h+qh?~CJhS4h?~5>*CJaJ.jhGMh?~5>*CJUaJmHnHujh?~UmHnHuh?~*jh?~CJOJQJUaJmHnHuh?~CJH*OJQJaJh0xh?~>*CJOJQJaJhCh?~CJOJQJaJh?~CJOJQJaJ*jh?~CJ0OJQJUaJ0mHnHu6rŁ '()l̂͂΂ՂւׂSTŃȃɃʃ˃ Tgd?~ ^`gd?~h^hgd?~gd?~ & Fgd?~˃̃Ѓу,-QRuv܄݄ Kjk$5$7$8$9DH$Ifgd?~gd?~^gd?~'(,-.?@LMQScdpquvw}ʄ˄ׄ؄܄݄ ijkm˅̅΅-.BCGHUV`cdefhikhrRh?~H*hgp h?~H* jh?~h?~h+qh?~CJ jhrRh?~ hVh?~P˅̅-.UVhi $5$7$8$9DH$Ifgd?~$5$7$8$9DH$If^gd?~  56:;KLO`abvwLJȇЇчهڇ#&69bcwxÈĈۈ܈ #$(h/h?~H* h?~H* h?~H*h h?~H* hS4h?~hS4h?~H*hgp h?~H*h?~h+qh?~CJ hVh?~F :;KLabvwهڇIbcÈĈ$5$7$8$9DH$Ifgd?~Ĉۈ܈ ()BC^_|}ʉˉGhi{|$5$7$8$9DH$Ifgd?~()<>BCYZ^_km|}ʼnljʉˉ=?VXhiuw{|ԊՊ )*./:;KLPQ[\]׋ hV0aJhgp h?~H*aJhgp h?~aJhqwh?~CJh+qh?~CJ h?~H*h?~hh?~CJMԊՊ./:;PQ\]ދ & F)>$If^`>gd?~$5$7$8$9DH$Ifgd?~׋݋ދߋ+,89ARSTUVWXZ[]^`|ƻұҢҢҢғҊҪҀҀҀsh?~6CJOJQJaJh1>+h?~5CJ(hVh?~aJh/`h?~CJOJQJaJh/`h?~H* h?~5CJ(hh?~5CJ(hKh?~CJ$aJ$hKh?~5CJ$aJ$h?~h.Sh?~5CJ h?~CJOJQJ h? h?~hS4h?~aJ h?~aJ)ދߋ !()-.56:;gd?~$a$Qkd$$Ifl0a'V t644 la;@ARSTUWXZ[]^`afglmtu{|gd?~ی܌fhڎ܎(*BDFHLNbt$a$gd?~gd?~ڌی܌"Ddfh؎ڎ܎@BDFHJLNrƻƻƭƥzqg\hh?~OJQJh?~CJOJQJhVh?~aJh?~CJOJQJaJhIh?~CJOJQJaJh^h?~OJQJmHnHuh[h?~6h[h?~6CJ OJQJh?~6CJOJQJh[h?~6CJOJQJh?~6CJOJQJaJh?~CJOJQJh?~hAfh?~6CJOJQJaJ"rtvxʏ &'(/89:<=>?ABCDJKLRSVWZž붫롚됄됄zmmzmhpfh?~CJOJQJh?~CJOJQJh]h?~5CJH*h]h?~5CJ h?~5CJ(hh?~5CJ(h*sh?~OJQJh?~OJQJ h Eh?~jPh Eh?~UhIh?~CJOJQJaJh?~CJOJQJaJh?~h~'h?~OJQJmHnHu(tv'(9:>?CDKLRSWX\]cgd?~Z[fgipyz{󛍆zkXIkh Eh?~CJOJQJaJ%h Eh?~B*CJOJQJaJphhhh?~CJOJQJaJh?~CJOJQJaJ h Eh?~h Eh?~CJH*OJQJh Eh?~CJOJQJ hVh?~h+(h?~5CJOJQJaJh?~5CJOJQJaJhVh?~5CJOJQJ h?~5CJ(hh?~5CJ(h -h?~H*h?~h{vh?~H*cdhiz{gd?~()*+/067GPQR[cdikmnpqstuv{ꫛꐂynhy h?~CJ h?~CJH*OJQJhU{h?~CJ hVh?~5CJOJQJh?~5CJOJQJh+(h?~5CJOJQJaJh?~5CJOJQJaJh*xh?~H*j hu>h?~EHUjx2J h?~UVjh?~Uh?~CJOJQJh?~ h Eh?~h Eh?~OJQJ(,-1289?@FGQRcdjkmnrsuv|gd?~|}00 0 0Z0\0^000gd?~{}0000 0 0<0X0Z0\0`0p00000000000yh -h?~H* h?~5CJ(hh?~5CJ( h?~CJhU{h?~CJh?~CJ OJQJhU{h?~CJ OJQJUh?~CJOJQJaJh?~CJH*OJQJh+(h?~CJOJQJaJ hU{h?~hU{h?~OJQJh?~CJOJQJh?~.a q Solving: x = ________________________ y = ________________________ Vectors  Day #4 60o flagpole cable BUILDING Vectors  Day #5 10 m/s 8 m/s 20( 24( Vectors  Day #7  river boat relative to bird  EMBED Equation.3   EMBED Equation.3  man relative to bird man relative to riverboat Package relative to airplane Ground relative to airplane Package relative to ground     Ultimate Plane Problem Answers (on next page) 802 km/h [N 3.6o E] b)  EMBED Equation.3  c) 1603 km d) 100 km too far east [N 3.6o W] f) 264 km/h [W 47o S] 3.792h (3 hrs, 48 min) h) 1,019 km/h [E 77o N]  Ultimate River Problem Answers (on previous page) 20 sec 60 m 5.8 m/s [across 31o downstream]  EMBED Equation.3  [across 49o upstream] or [upstream 41o across] 37.8 sec 16.7 sec 3 m/s upstream 400 m 11 m/s upstream 11 m/s downstream 2 m/s downstream 2 m/s upstream 229 sec [across 18o upstream] or [upstream 72o across] Answers to this packet  000000000 1 1.101>1@1L1N1X1Z1b1d111111111gd?~00001 1 11,1.1T1V1^1`1d1r111111111111111111"2$2&2(2,2T2X2ø|qdj#h>^h?~EHUj_G:J h?~UVj!h>^h?~EHUjE:J h>^h?~UV h>^h?~jh>^h?~Uhph?~B*CJ aJ phhh?~B*phh?~B*ph h[h?~j h[h?~U jh?~ h?~5CJ(hh?~5CJ(h?~ h -h?~'1*2,2X2Z2223 3V3X3\3^3b3d3h3j3n3p333244444^gd?~h^hgd?~ & Fgd?~gd?~X2Z2223 3V3X3Z3\3^3`3b3d3f3h3j3l3n3p3333344*4,4.40424:4H4X444yiZyjc;hgp h?~EHUaJjHJ hgp h?~UVaJjhgp h?~UaJ h?~aJhgp h?~H*aJhgp h?~aJh?~5>*aJmHnHu!hgp h?~5>*aJmHnHuj6hCh?~Uj1hCh?~Uj,hCh?~U hCh?~j&hCh?~Uhh?~B*phh?~#44444444445"5$5,505254565r555555$6&6(6*6@6B6x6z666777777777tkth?~5CJ(aJ(h;oh?~5CJ(aJ( hEEaJj-hgp h?~EHUaJjHJ hgp h?~UVaJjhgp h?~UaJh?~5>*aJmHnHu!hgp h?~5>*aJmHnHu hEh?~j=hEh?~Uh?~ h?~aJhgp h?~H*aJhgp h?~aJ*444,5.505456555555,66666667@7^7n777 & Fgd?~gd?~ & Fgd?~^gd?~ & Fgd?~7778888 8$a$gd?~788888 8h?~CJOJQJh hEh?~johEh?~Uh?~.:p?~/ =!"`#`$`% Dd T\  c $A? ?#" `2Sagz@r5^e/D `!'agz@r5^ef  ȽXJxcdd``$d@9`,&FF(`TIIQRcgbR  0nĒʂT/&`b]F"LA `0uL *'] ZZбsD V0Z^˓ b&#.# ŕ\Pq]6b;OF&&\y @ ]` 1fv1}?)Dd T\  c $A? ?#" `2SyX8M/G `!'yX8Mf  ȽXJxcdd``$d@9`,&FF(`TIIQRcgbR  0nĒʂT/&`b]F"LA `0u L *'] ZZбsD V0Z=b&#.#& e\Pq]6b;OF&&\y @ ]` 1fv1y>H$$If!vh#v#v:V l t655VsDd 0  # A"aΆ|3\s* @=aΆ|3\s*p#Lx'xY]lU>twaU\Z~vBH]Tdʮ%P!j@~0,{T$@D JyS&&&<` IYϙ{fvcRgιޝI T, ~90m@=47@ypd:؎g;m E"npŶ$ܹB}imuL)~{bxm', hq3= T;4֋l ?C=\`۴HyW gvAXz؃c/B?L2Sl`,?~E;2f4 0^wM9E޷gh7dU7 ߗ6ջ?m>-eOS~1g5)y%'@"\"'?LApwR(ͳo ˝Q[aluˏ67DXn/d7j|)d֠]8# /i2zVbX)FaaZ[Ȩ[5zqyL(hM6#eq(ӋK`TCha簼ipC(R}R %FFUoܫt{te=܏R@;`;l3R#S ɷT] Kcr`ɲ4qxyuMFmiW|<[z]CD}L?g뱿m}Tzw w~NQDd 9\  c $A? ?#" `2>Uo]<I  `!Uo]<I :@Hxcdd`` @c112BYL%bpu 1(\ _/a*F\ b k +p]6b;vF&&\y @ ]` 1 v0@f~@:6Dd 0  # A"ZQFc"a6 @=.QFc"ad!hx] xս?3{&ڄf@ %H*ڈR"`C,ڢ~>.+- Utf9sf2Yvׄ]ݯ?3s;?gg&Bh&`g{{;rl=RqP1Х~#$Ǹh‘\{PA9+ #>ȟI:^{'ɗͰQ/ %\di^rҭzOoEj8>|r CK:&@x6GZfߩ]wDCsucA.9=A8"yVvz %-y3 NeM!XmFnLBoHO  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root Entry( Fp\l\@ Data "WordDocument'0JObjectPool* IY\p\l\_1254048074FIY\[\Ole CompObjfObjInfo  #&()*+,-/0124 FMicrosoft Equation 3.0 DS Equation Equation.39qi p s FMicrosoft Equation 3.0 DS Equation Equation.39qEquation Native 0_1254048073 F[\[\Ole CompObj fObjInfo Equation Native  0_1244832376F[\[\Ole  i* v FMicrosoft Equation 3.0 DS Equation Equation.39qP 0 CompObj fObjInfo Equation Native )_1245332945F[\[\Ole CompObjfObjInfoEquation Native n FMicrosoft Equation 3.0 DS Equation Equation.39qjR"t v MB =v MR +v RB FMicrosoft Equation 3.0 DS Equation Equation.39q_1245333343F[\[\Ole CompObjfObjInfojRJt v PA =v PG +v GA FMicrosoft Equation 3.0 DS Equation Equation.39qRP3<~ v PG =vEquation Native n_1254508705"F[\[\Ole CompObj fObjInfo!Equation Native n_1254508795$F[\[\Ole ! PW +v WG FMicrosoft Equation 3.0 DS Equation Equation.39qRtz v CB =v CW +v WBOh+'0|3*a) I Aji1NaÖ[-^n%kҷ_dn"o&pHPX-*;pg+ĻZN<%G7^(1=Ũs]l,A;YLd?2pSUv8)ՌͳߵQEKTbtx'y5}m mDml0#4twڱJ>ԷjGw&F\<& o43=4pr+WxQ6)MVk[ISn n cPkϺ5wr7r GnNl?`=aTnALp߯\nl4|z?p "[076hp9ګ 9iݧ0t#Ht_ٗʨ!f?s/yrx<ҔR/Od N"NO)On89 Q8/~q]8:~C{;doCM}D:TeEPvHwvHF:\V^;p1tn޹ќb'RFʍ |76r"ov#7 =Unn|a7۔vc.yqi7^rWŮ+c)'tsheJ4{ \r%,RhNB=x\ f0`GA s.V]/ gz{ cg\\I&J9qʙ ጢ^)g])gl0ɁkXݏD3WOfw:E9([dɆylOo"d#~{^dxMSš(*8^JC[_οdXJGsWDӾ2lG;t''!?%b{cё5I/2=p(ZSVn-["5yq)QSO]9Vc L1K9>/gV|:tXcb>Q꘏xxֻ}-C] > 1~&8Ҙʑ[0/GʼP"6/ B&4čX?p#=7mBjM%8hS܈`z qcT䂌 2PFXA}xܨjs4&k3*77☞Ag8}>6sryȃ>q#H 4m!3n$Hn2=mF!?PzW@Ok$kDž6GɆ~JmNCQyj`'vIs>4>Hܧ)߰H%k_ S%6'f' %X#"yGg@fZErc*Vh¾}쇵B:fkW5 7:vB"!&zz=$Js**GRRfg$MNt2` /@]>q#Hwύώ펂9@q65]FZpc#TsUn7~ѳb788v+|!.y1b_<;&֦sXtSb Du /5#l#`S}c U&qk׹a_%sJ(pA_&LRtXZ;"}vL8?B9΅cmudw4و9r`)v$z]y bs#!~,8 B|0HR<" @ T5hL1tfyѽӐ*k{^W,}MT}q}LAb\z4Dokl^+,2տlw9OLSMi&-P'td/)bi¿}Ci(|%ٳ%*W0Wgh~<Ud[RW9dRE sFW39s H•9KD1 V93(H8MQEƖ춌-ې@x:p§9)s&JnLnt4ek2#A0 I6YK>b-X`7(+/{g ;GiSCS) Q9h ҽp#c,+A>W42!jt ʳ4y< U>.l%`:׽8XzͩV{G*?Ry8Ry46|l{3]BA.,>pjs,Nᖜ)O{gGۡ=@ ;;G~JcXpp>õCfs->> Ξ%yK{vNî5w<ֈ Ԙ1 / 2 1 ?-쇟V-,B=+b Xõ2ē1&BxX7R܉Ph2ǏS̆rEG'I(6)~?"H{KVHQRW**#"<0@7J!3.4Ae0\WR5t^Z}`. {3Gx#% JF)$,/,JJad6I#hU+)!|@1QT'엦 ; 륻f)\k&CQ (<"BF)WHRw |+~Q|OX7> V))-9sq 8Ioa,P<i)6)vb >Ln? x_F@-wpOkY9A` m KQM_&^"*u#n|g<<+[{p3wjCMِ5NҴshKTeO.N$ h_F1|^G7rڞ|J|؎(> w+oo{f_]H~"r.$ix9 z=*%Xkqn$Bt1cOv^{2Rvڪ;b<\pi%D V]QwmicFH!ܫ gG>}kPx@wɷUPPT@7@f ɋܵSGƏ&"m{a:Ⱥf;d0io10^tm=d6|2oKϼۯy7EBo['sY^rKjfs{X:hf'ݫ]mogmt_"?yjѤtoK=3^p&*BDd T* . \  c $A? ?#" `24@Tn! `!f4@T: XJ4xcdd``ed``baV d,FYzP1n:&B@?b  UXRY7&meabM-VK-WMcPX\ Kc*F\S9@N rA00 b_?cd60.cP3M |t{AA I9 i\ > '^Fml #\`m Fm=cdbR ,.IexC D,Āgf~gxCDd h\  c $A? ?#" `2oJuE'QύKR1 o$ `!goJuE'QύKR1 : @ |5xcdd``ed``baV d,FYzP1n:&&N! KA?H1Z8 ㆪaM,,He`HI? 01d++&1(\ _˭ӘXt3q=`d97aa `#ľ?m`|2ogF0@+ss\r> '^FYAFhIam Fm=cdbR ,.Ie`ԡ"b> 16bDd 0  # A"F<<]u^LկN46"X& @=<<]u^LկN46$"1 xX}lU 4XګG`4MwhDDb* J6T5P!@LH*`B2~ٝ.ǁm9½dnf͛3{o= Zjd W}Sg6H}$z׷OJ:ߣ앮{)@[V4#U#!A%ʥHri)SWtAͺ5 m96l9nȦ-SS prdt<8D;&ۯmcl."Df!_|,w2(qlwsnk,'d٫xT^7Ssv y|&m?y =rxyW[Jc874%'\sv` 5݌ڹmb(VDxlLM2M4[UOKo8{NzMƚHoEz?!0!vc5Iev6Z ; V.OZ h&p]ُG*=#k#Q^Uc#j|6&ɒ l&wdQƘЍ,x\6'sX5'1}_Ib돕cOr*x/<<1kϼ3 M_; .$~)}0I찞?0i<[,\w첃uGuCZW(T :{z@5hcs*=gC1إ-vi]Fl(Yg#"w#+L*o1yB~[X X1`|%d ";4wXXpi)t>XAa!(=?'nMyr8%Nw*dW,io*gNmɺ9O{{QW,յMsĵrhX?+--n{3g+7?,m#hbhk{S_X!Lݫ <~u'y9oa𣡓P,t.&.\ҶD6~l ?JU\z!Do~9%>PynCwwt=z  |_Q;5o|/>>uf9ϲ0 OI]Dd k{0   # A "S;>0&rLU lL/"- @=';>0&rLU lL$A8zx͘MhAg&iF*PͶAK?xA /E=+؂^j{A/ݝ5a7;ơfHVPZȶ1e5f\^ m> l{v5L[XM䋩u*=&{]Ǭ u'soyVK"c]22R{suxO Ce/X`:5Ik{/caی02҉*!1 |:}F+#`ڬȮȮÈfAF.#HaSed*2(#AWFkϞ)Hf$AF#b-F:y;Z2#j 2җ1mM #C#!ՃDc#,DLxݒ {dp`Cj#6#a2r+1u·{kLɌDHԕO 662}3a$j3 #ȬȏΟ|nY-.#SJg$VF*]I+*HH̃L#w>1ϙz?#w7Ѿb+n.S+ +ᑴ.rfR1]86Dd k{0   # A "S;>0&rLU lL/1 @=';>0&rLU lL$A8zx͘MhAg&iF*PͶAK?xA /E=+؂^j{A/ݝ5a7;ơfHVPZȶ1e5f\^ m> l{v5L[XM䋩u*=&{]Ǭ u'soyVK"c]22R{suxO Ce/X`:5Ik{/caی02҉*!1 |:}F+#`ڬȮȮÈfAF.#HaSed*2(#AWFkϞ)Hf$AF#b-F:y;Z2#j 2җ1mM #C#!ՃDc#,DLxݒ {dp`Cj#6#a2r+1u·{kLɌDHԕO 662}3a$j3 #ȬȏΟ|nY-.#SJg$VF*]I+*HH̃L#w>1ϙz?#w7Ѿb+n.S+ +ᑴ.rfR1]86Dd k{0   # A "S;>0&rLU lL/6 @=';>0&rLU lL$A8zx͘MhAg&iF*PͶAK?xA /E=+؂^j{A/ݝ5a7;ơfHVPZȶ1e5f\^ m> l{v5L[XM䋩u*=&{]Ǭ u'soyVK"c]22R{suxO Ce/X`:5Ik{/caی02҉*!1 |:}F+#`ڬȮȮÈfAF.#HaSed*2(#AWFkϞ)Hf$AF#b-F:y;Z2#j 2җ1mM #C#!ՃDc#,DLxݒ {dp`Cj#6#a2r+1u·{kLɌDHԕO 662}3a$j3 #ȬȏΟ|nY-.#SJg$VF*]I+*HH̃L#w>1ϙz?#w7Ѿb+n.S+ +ᑴ.rfR1]86BDd @h\   c $A ? ?#" ` 2AHDI6n; `!fAHDI6: @p|4xcdd``ed``baV d,FYzP1n:&&.! KA?H1Z= UXRY7&meabM-VK-WMcX|"+|-?ΝT T0qga `;ľ?m`27a1 W&00p(ӟ{Nf go e.pL0m-#RpeqIj.E.Y`9hqDd ::T   C 0A j0433889[1] bpKoQeeAp= npKoQeeAPNG  IHDR=2gAMA7tEXtSoftwareAdobe ImageReadyqe<p5IDATx}dUs蜦'f@2", ̨+a >3$H$&0+νzWTu[U~;Piq. +*J*J*J +*J*J*J +* +*J*J +J +*J*J*J +*JJ{1KV)[iǷ \]xN?y Rw!>\+:-_M껱No ^%~`_ Rs<\|Dwny_ > ShY/hJ{Rlaq/gG=<\^AMxMQX'Ҵ aV]i/hLn"x4!hf'`t嗬p5N1MDHЕvEAHr!\NӁ d6nZ?pk}C6M0t35紑3m~7W&Ƣ/g9B. l;gգJ{[vC  7C?pS9#CJ[÷/ b?ȥWt4A3Nci|W1}y޶ x|@MrN7R +ex<,l#;;y♉QSP7 Ϣ.w¢O曫٘q˷Vtm^\9͎r:ډnfĥ5C~>~!Hyj\qU]ioMh2oQ?d =ӐC|ڪS:/ 2~wc*6f,]t(Q4퓡`f|a z9Kn mUYp :&.d_VBU1tnQ]Tne@6li[VS/7߿Ɏxhs(Tt= A999K hLeGICzo<i28.Z+hJ{ -ggV:|<6^i?j> vA'!.e3NP08 V4t MSg/ll6^6TX6sGkvFo)* ]i/u2wQA|`.E }CE| KO=IېlSG CW+7b4UXyXDAsͨ ALÃ_yb CWګrwC{t#e 4Yۋ+Q4#`eLw:ݹm\@Fx,7Q%3ҡG; NC؛8SAwCC=)oCįWpקS{o_ jVGA1@p{yzveuug8|O@>1W^hhqq?V%ϠGįeCf 37}W)ۂ O&mg~>Z!v c^2 E7bNMIii^~N\uo~uϴn7VmXi}ݡ|ei~VA꥕x,! ñ@#+U# !O1L`#k&Дu<4t }=|{[mցga| ekB8P 01*–=tU Q=&XM_t=T(y_F7J=W=~"yΑ%+sΕ-.%+Ŀp7`ճ8qz`:!?L?~;v;ϻ>3ikoi)B:"/h޶p?Pಥx{ȇorZPx5zH@%f99w=نpt"Fͭ#T%A.ȥdȦޜ%ۦEdc!9zIf,Vvk>؋vh,˶|>/;cwS]Bܨ 6؁g&F:պG.Gڏ :+ۧ<[)HRWG  n/6^iv[5 Y֜0s`#|$iNpBYS͙FeϕϼM Qs*+Q4$%U0y, #yHL#9Q/S?ŊzqNmg~GuxgH- |&s!1ٶȺal0CDE$#?z@|=ߚE)''6eۈg6R%>-xFQ?Cϰ'|0sC,LNuI.4'!s[@VB5t &#;@ؿ GmsLtOffl NN}& l?uEsk6w?iԵDF( ˒C#̎BS+l]:47^nh&>A/)AbB b}]_7#cNIzXhn{C8\`u3#} &{# h%a_F;cʢr:汔qwzW6v %h?ܖ;:|6jvH| 3u><f308SnEUjkW5;V!W!TtEz`%V45{ֵ+,PoCl$kL!Tog5pϵPz)xR]Zhh`j) (<-R$Q&3ڦIU[p.M!~p+z`@!\gj]`ά*ᚓ`VN$<*4lb^9SH"j'49}Q rc#ÛsACВ[@Oo-0{p=ntg[zx0Bu:5j=7못K!ķ\"CD+qV8]uQ 00T6 BS0NnuU4ff⨡'e/aSjdm*2}c7*w#hQP(,H4(Y1%d3ؼ_Nٙ/koLmP&l^ĩf:3␥ەh]>cdo< fD\YeuR[n<-VdeWy,N)B3'nrэ_^:oj(㈀b"Թ+=s'iXu'58#j&Gh!$Њ`GM7*1 h ؖ70caJ!EE,EpZA_p{ω=ړbxq Okm ~'"$3H2^h&xeCROl rt R(}^S s8L¾m:B9+a;؀P5~*/bFI}cYmONX!~H5s GC0!܁|mr=yqX\\hpadq` Iotq0f)Jq KW]8;lSwr2r*"=f)Q7} O2o6]B ~8< 7 O2Ȓld~As>V2CްqJum&k×uJ}B̐+uU ,F_=3K\P!nLp$yGTu ߻uqG !ϲ|v"FD(KB<80  -z6Y| BIF7ٛbp(P jq6h;/azaa7b2G}0<)ǒO24FKZsAU,4cC0 $HsY},1Ӿd&#Bu|_H tH&?f ~0qpR4^i8-sEA3 CD7&+r.Zwwq C{cn7E|s&UC7/gQd:PpV|~&*[[ jMH;=.)wDg<7^88֧M|!g &<)dD?Go?뙡q$_pϩm p=1UadSfE= t,CEPLCk1Kanٔ: f|U8E?I4e$"b*C د7YVTQ`]!Ӧ(YȔ+ڥ%Z}ygL}gm™Fg8DyRrM@Y Ap/.)wr3Q8w2x=acÊ`.A@KdyJwiìhis?%T.lQSs;Br4u}K#V;&"Oo_9"hgaxу'kY(11cf͒3ey< PBWy ) U~:' h(Uc4gESǴ\37CN-<cC7vfj#B'L %#laB8@hPrvd6)C([g5}#,@2/IKdh\=Qt{ZL/Ԩvs}쪟yc4R]6|^ݾ A Sf.*O 3@)*ӽnAEɚ 2Jg yYUGZ{Fh\W e4ې{\_L@D&G)yif 6'x0 a^\Ob-$8x"05<1yqc8e uA KLQ-S/2315𕊀EܮJ܈#vF3i5#W`9$|m3ۤ\Ob}3R8*It*Yt݁x"okϾg} ۋ<|$JwPE #s1ttaouhpZ n 5 V6 CJ`Lo܌Fo5>7.Ȍ6˟rkY{*:H}[sb@㡮d<je5#Sߦ!H"4X:h>rZgby&ϟߨI܊0esdf z঱nO}b=z*u*Otf-9y\۝:9EcƥAE䌈Ua"k6fdh(M<=h"eA-7@_ӛRH@` eJG=3iy~xS{ N=Tyݺuo:S%J#njd@v.unONc![0ؗ`²T#Y5PU')%/JO*WV$S)1UqyT ~q`Κ2-a/W6/ *,ɩ0r/|jUbXIȎas?| > xm{_30WA $m.~): Znu JnW;2~1)xz8KC eCp=g<%8Bn3ڵu}]wYdq?R&\il[v@KMxPܕ8_<GLW^< aAշ#o7"%L:Cr,28nGP!Z*Cbex Y40yL5E#Ǒ-syAWgn,_yG7unlhuA4@`獈ZYbvu"MhIܷJa2pbFn=`F `Y~2_i?PL֔일3  D).|j˿&{b#ZZ7>.؆mX^ޖXZEh\?܋~ .>.߇mmQвh\"{Cˀk 3{+G_ 3(5͌H&OTӸ4i`K}IP7/ Um"kO>'u^x # _8h~:C] 4s0{bПDq0.LN&dy bUWgŵ4kR3pB5\q8fY)}j֧LTb7,')R<}L7ἭM%式 BmkkaHAħrx{5. LQ};ؽ;}?spɌdwG5$^=ASeVѵr!G2( k0%"yxrG.Ղ ,vls+LMύNaW*{Qh$AI9wONrZmv;i_ *w}m@*w&g1i6 xH6YNe2,Lx" ZcZXPHTԜ8QBN#4jqdxFʿ!w1WA\^RVscWK0K V ,@ L7e|2zIӺiV=t.KuѬ1߬01M> _hq Ry44aYPi`jfП5s8efT${{ڐx3Sxۙ mJ|쁇.X}c݁dRb59[?`Y ]FOIlDYYU #0,7'4Ʈ隃3|XS hGU.pұ jm ]L/N`MKSZM8|Ki{c[.r2a;lH(?5;~e 5>FEh40\bG)5,LMlD?S" ek03 Aj!1d#eZ3"ohuzp7I@b&3`+3H 9Mݏ`E١cS1hI=O}4"FPp>CQ)k<&mtp 5=f_:=q[GGp 8BNN&%jMIh%y t}QC{z|ø%Y$JX Շ,6WL@jq<F I41G)_cZ'̹AwS arb3C df=*m,ԭL̚Gzs{{3L2#]Ctq(lWץc F:Z:m(=wLἯC~gi1wRV6#l\y\y$:F}.@O>wadnq]I/Λ'־;=ͫqA@kS><h#~ÝKZBg7DoIw (w0 ќ(f3U**JΌEQEzX"3E3#U'C1 "R_Y})lh0Vd24A(@ۡ'aЀ'IS׎`09Uٗ؃ 3q>zK)Sj#sNEIQ7(U4.4g*Os";B`G vq낖ӕ~>|&>w] ʝ_zh{xO U…M*ngq yK<zyR(?4.ChXF?zxu1\oȒ CGXCM0|#4 Op`i4ټjɕ6<-͟_/l`2r,L"x_ r ω-8d= /.3 V ySSz=gu6,R~u4\l%sCIke'?hlȨcE@kU# *=l/79 x ˵,) ]Ik0́E8f4_r&|30UCUX [[`m982}QdOG98\;KJ:Qǐ""$EDPg ie\Lk4(G&'?tnИA"79~5qTC`!pD:[@#ȇ|h+6KV.$dx|Mh!R ) @linw>z!ɜt9h"1cp=i-|ǒih 8hir"+:K>6T&Y& oviĿ'NCSvC2@Ɏ3ݮl9IƝ^Vw-G%v5@,킪ld.c.X6$ B]Sj5- Joo[v^ޗN^#5àQytoo;㻪tUfz pUY";t}+G;d.܏鋻Z'aQCNn9 ρ~!#|e c@1 ˅լF[[crC46fdPeDAi\aqJb$T-KҌdZ*&mvЗQ!0ǐAVa DY|.y pk鯤%Xr|3><NVӮTQ,{\*}0 t-N{js8.V")%x ĂSV`h(.ԴR?OػpFiG ԧG58@֭ۨ 8WSMݮ\wuW_Mٚ.kpš3 [ғ.~V*Y\8bvQR\5e tXN5. ms'wUE_vmG+j9U+ j|R}{@haә/J%vW&C7݄A5Gz\dM?\Rȗ$&RrRI}@zZD-~ny(_ dC'h Z^ٵʪXkJcbҳTn7SSвK}E'x&-ˤi( ۚ(5pbUkU` FosTU}]^6'b믿> hhmm 444r,y)1>:*%5,+ֱ^cS4 &b{ZVULj9S2SMȣ#9r2ܿU)Є%\n[/* tG'-w*o|#C!3lCɁ`ӈz>xÝ5!)< 072*' Uunpm[55_ ,hX>I"םE iXF f 78RBg"Qe+3K#prKM?FcPLI'*pGdZ_K;T @2 }U]:zna~B  "1y%EuƗiiim IHfjCVXiFw ]y/ݨ eQd6C((6|9,~ L*esxL8}."~6qi)54]6 " s&vxϙ-PuB")XBd_lCBv%;쾒w>=b%^fݡJCmZ[ߌƢ'Pԟ hO"[|t >Rj8lQrsPFpF&?G&H] 9(_b#K4(9F*f0?u{ ;V4©- o!V!F 5vzG'N-{?OSk?=-_,]&Ĺi֪QQdA݀ NsOFl D5@Mډ)ӚHY,bGVh4@AnL4^LڡDQGV^RQ{ƇÍFN˚뺹E˱2]h8Ў A71hHPFG]0f kG|jdS'38n@n|δ h0 qQ>yR ψT\~Foy[vq eAaC 71< }\FƉ&,ݜw{uw Cw§<VCp}9WЦ4 5Jh>(CDZxDe+_4Vs:lH-\Q82Lz( )P *TJ%v;P\{T59AׯAih'3"qR7QEWbmkx|8<%O?Ɓ}R0 :TZvXE ס"ow#U4#'ryeEy/"`m$ĉ߾vծEKlKWUђN#r>cl2ϣr}S(Qh|Rt;O GA#qw$eVmY tɾ,iNp9l]3z8+ Onw(?ҏ 8ɤXgzp*NY,RU6"luG7CVE<;=iI3`eSb^5V^Z؃?]NؑMW=Kh?,*vi- ;aN]솖#@Em'ѸlD֠qYIh;ʓ-r#rIS`ƵL]dH:d3E.\_=uϧyu|ܾ7c{w?كcگp X+ն{v A!5]w+hq5ֺc^ZWNjHmcƥ{a\NzjIBGpkuSc;A&!V93]|ƶ A P".ǸX&+hLu}2@0yŌ4vKMX\9^[Ͳ%~vw"p/x:]4! b5&vı)qPTFt؊>l Lc#08l'Ri1?@ABCDEFGHIJLMVOPQRSTUKWXYZ[\]^_`abcdefghijklmnopqrstuvwxy{|}~l`w=w 0cаzj\R79-hp&4%& Qz;_lv_7j#c2D#wfĈ~GY%]`o8ZLGCvwa\ agu Br躒Da\=ePP2I38؇SU`tf< Ǡw ãI]V[׆x@{?* Z@Pdimi.lԧ\-f"E^BzܨZ?K]s`A@LBVvŀ#\rݏu. d&vڈ,g[%hA&^ ܺι=]> ]T/r쨇Xg0~?_urdUJMh4L/sQ4<t@+ sa4Dm5lut(cpg2-'&؛xQto5X!R་tg\*RA5slX^YXxи^#FAqhfطk=ʲIy]P׺M3=<B>+&Myѵ (3P.@La"~EFndjQ2e%z n$@WZk̰Y%2|1en4FLbHLLXo$'uetmNKI nG93ک%L#`*ըw .Z>x!;֙No'5u&/]">{3pZ1x R ɏ3K M==Xl,t8 ~O2X\@ Q>''U4?C0[^7aҼ4Fɸ,4.W랿Ug_Wec.f髽1QvtnɌv@"4$ڮ={YϋRN] }ÄV. F,b t4s)+*2j ' F#P?8[y64)phnlkuW5GUL8Zr';?!4;b:BQ,Lny'i`,,b3GYdTa<9$eM{'$}Oшψ!㲹תE/Y9z&NJ=KֽV5Sq9`{LU\w7+4)1p`F'2= }G.xhW p?jt1)i*:P hM#;Bֺ;  h{4svsgTVY5s5VS, 53[]S4!?J tV` ¦Ƕ_ ,s)&G?x;ggM1Ljpy"g,NES3ԩwnGfW;kC:e[vD&<*kz:pZmב~L'Fa!ЂNu/K#b2ؕY,xcr,iP]um_J /iƥU4ø$&7SP=~ ٭@tVTUjf xclG9.\x"!J'2,F}{Q !GfbO]1*vZQ6NClmurAda,(4Y 3!,#i"!\tyfy blhQt :eI]M&]hYI ys(46H42gF|M4WE'COK#9Գ,W9ѭTY\(kMjEOXTL"6"3{@=HmzbmdٻB/?5C7'=ݸU܀;$'˲]Q: KkCϏWWG>?Lb /TANc^hIY 0595Mp'QNSC=( yA%1NQ65G/,NNC!dP7Ϛ nIppn"x0R.A b623glͤS"}98}cM}јB;Bid4+7q*QcѳvwkظhZN㩃߬?k F!"ԈUE72>.= ) ^N+c_tR\ާRp6h[FKK&ūpGlMQy*eN;NˣJN}%J#kƘ"-,أD#9DYpީʉtKlFʌcusAV\ރ1"PT*iieq;ЯP! ASp穎UF1er|`8ZM15l$tuD: T˜2IPm|`>4pYbo^4pd\&@zjVmD Apa%@uUu.\PZS4 ^(nCw\);=TteJ! C} E;&e[MtN;kZ5g LŠoۃ;Sl䋫n~cU-AsEK#xȼ,y\H!M1 /-7j@(Rѩƌ-02< jA.G֝dJ~!&9[ 32F$5ŴfUf4?Mwc5Y:s)WU3jdj.AԺgSiPMː5+d>$D{FgмZS",+w(=Z~e΃?&o5ƗFV_Eidɔ+L,[@Ӌ(;}&B$ζ6% zdj (@*g@fYoz)fSc3|m\ T3UK2Ri}%%ӵOױF޷ {Be@=Դ"-i3T Mhh_H3WU=і5?#РYZxSϥ@hʄV tr$N}1C0:: f͂ +*ff4WKM%v8c MZiM8PJ@pBJ;xx7־f$fw{ߛy#gqZ9Dh~{o}97?d2`sl:Sx<KM{*xTu2[c ('fC-uq;t ௬7s#-r>ٸ&jI>Y4uLJD*<}ds46m b 90,w­>RcS erX.)ȓ߂Fv]I!nXV(ǓihjZh*++mbjjYlMiVciyniK pS!B.g{ $ D.4ey5AVώ9}(QVd=`̝abU+HK^.[$XbP\s kƓ6F9{ %̹8!R@ oB@pbk#I򶱪RHQj]pyxzBjZ޸ݘT{}SiJՌ(tEM7}dN.7"c==˺Ihu\S98Vd)"r3-0K\Z5y͇@orDS0ƿ'eR_<{,AաjMV _WhIFA| YQ\ZܦW,S$K>g֛kZL’|{, -ð`_Oc#^Nx!S+I"\w+\6Wm>] _KDੀ sg#sx[*-6 nf1guE+|qM6T<̢4A-.EG$)A`a-ApxтxT$be^ wƻꦥD)2ܽ;heAprǬTSɹ7%8Ӎ`Ɠ5D4dH H]Z˚QYow1`5yGU^Ma:၊@rR>V1 %u aR`A%ըҢܣW^ %*n; -,t<Ag{.L(ReA̰JvrZR !O50d&ibq&mi5hd, h67)MaiuMx+Gf+KbM_"8GO%W7&I=/xkͼnw0S LȇsDD@+DklFUwDS6] 1Ђo_ m.A|}qx 7nj**hŽU%j h/.AEEOߖh@ǧ{ jԥ@ + xP Bwo/bђdKyY*B2H9JTXPuX$qs}kW+C*ɉ>3׉Sw+Rۓ]5ʺgT_rA )>܈CwD::Vݷp>"f!2y+歛aAi:_%x+= Gj$A!gaM4h(f-k .*r'!fb6m?^{$ wMw[(',رcJ Q!6UU&bpO$hhY$"#_9Gq!ij8phyt;9=} t%z_>ɮWѳдu$"NAnw7宖- eR{]H^U/"@IjG) ZNG#v K>irsRjS42P SKJĎ ?6Z |:hoֵ.U0"4QD)9~ Os3*?jdxi9[.(G4!z+g+Nm$2ҲQ+n?o٢m*UfcѬPH5tlH%u-fh{r yBތ $$:/6=]L!XYGGW D<*HFf<1$(߷T&*]ZZV%w4Ik*"uJ 3)] j}#t.ǹWFν,%4Ĝ`Zm=k@&Y'FX=pc^s\B}]刜$JP %W5p=VMNW짾9gΪqQZm,j=66 oZe++nD>P5dJjkm3=;e 94--gv U=93B2Z40x^T}9SĀGߋ)Y0i׎e:FA$$y@U ȥLK`c' mte%"Y0tXҌ($1ƗAm(th'b4n0jP[LxE(!5nX]{v$ws\z/0s;YtCCCȣ"c=լAcHKKNf\e&i`onjA^W<9xJ|>`pOA)zRcut'\ r> 75<2 S󰴵N+SYU$eD.QtE;ů$ŽyuzZT\S54{KCu@^'z_1{ȕML,ef3g;ƨlDJea$M7eB!zR\4e7?1f> '4*^i{0%Wi!C[<{7_xV;t:4F'F9ZL)wwƋBN566 B+avZYL66B6B@?Xd#UK8Z4=>t:F>c\)qVAfuw'aӆft> SClMnDijw39,sЋu5'f胱0Z=ښjXW* άliO&\LfK; rxJȦn6>}Kvggm{<\AU(尶`6IIw!˹ӛ_=rgW1W8&PGGK=(J-@bibl53NMX*069>N'a. cxH{PR 5edD*4<5V zzGzi(]S8 gӞK[o"ʻjJn-6nžlto9aaYki܁d}]ՋRAz"S4~p~iк Cѹ\FN 3 aEN?=!DÚ 9 CL!K0kߐ_D+w(Y Y#;v _ȝwI֭;\z@ꜦD%rKfvv*** L-H7!Z ϧ8yPCpXwe3`^zI 5{z81˜-r5@G 䗁hx$^hsU+]٠m.ׅmBz|x+L>BDys?Eh5СC}۷oE'݌C fPK} u*B3::JǾ"%ֿu7[_T6;%bj-95vA,Bte]7~7O"^ P'ܹb>z~d,[/41jriu]UtC}?+x+>}#h !ЀI6 ""h[z!%oe-SMrܺүzUer? _}ݩ牙]Q$rõ-xVBPA'd!Rоjp<šx<`}cJ1_>3%0<2i]'K=ᦷף' F:zLwSP gI-,m(G\˖>ee2KB,46#e+yr`zo@#i62sn[6 DtI[w>_bWkϵ_%|:}BP_a;]w}xG=&!VUF1-drr2uzx:688؇9KdonO<*>;4̥gxbr3Ğ3o:4/T>/>Ъhr++Ǘz4Z>*/cMh]\OO#cs/{ i#G7}!BIDL BLC:>?Ҵ̹*l/zDoїйDw-Nw5~@M̜Ky埀rHG<A !@M]ʣ>~ :Xe'@jk!LIf9]`xbhj*S;WءM`xmvYss|/Zc92;ۑPM,*:ncp{3ݻO8pH$29aE7G;C?)G(HRLMFbѓ<~ >:;^C:HZ[ȑ ~aF$T@l^ӽYT?=9@zH6aPYͣ q/ت {l}llN.\m`-+Vŷcǎu#Kt{\\`ֲ~GK^AD~wuy\s/~n $h}]yP$XR!U 5LݟVZlzc f"P* `+,g[\wEupLJY<3̂&ˆ^j =BKi~*+tgRZ#Y1S#3Z*8H!DT>/hu{]@67+)d|[?ɟ'h |rg b[q> {6ލÿum(Fd4q픃>;$)k2̼(I桿*|5&(g^yY2ѵ.)-g- ?6?9?W͓H =qGoL-0 Tt0jKO^ث=5l#9ZrDney^DhrRyU^Q'\A%9݆ZxU?C(2ؼh#[X>z/Ji󚒒kssMYMH 1~L*9t>*j3eo|u#;zu%U~IPĿy|i+ ,Z5+W{žgKpI Z\4SO6Z֛yy.[$7.m}u:GFi^ 2m:#{CXWb _Vz```,HDq)؛_0>9IC?ۥ0g1444m'/m4x).<Q*enhJ#5gš zA,9&dޙO$Xᱱs#d7Y,q :%'KGI/* rٽ'OA$VGLjauv1uChiy&{`d|~yh)8Yoq\f)yWӪ1=jR3ö+qϱЗ~iSZf=n7r/:l&ߡ'n ]2+﨎o. ˟`aʐlImn"mL4~9E`zaRUG [׻2vrL%^tvEIU!r0Z t`5 BUh8Qu(^<x0|E6 +Fn/TwN9.- v2$VNJ[a;g9^cE f׷,З~Y; gYr,g9v@;Yr,g9v@;Yr,g9v@;Yr,g9v@;Yr,g9v@;Yr,g %O.pwIENDB`BDd h\  c $A ? ?#" ` 2nip- a*_ nq `!fnip- a*_ : @|4xcdd``ed``baV d,FYzP1n:&B@?b = UXRY7&meabM-VK-WMcX|"+|-IT T0Zs㷱030 b_?cd60NgP_aF0@+ss. p-(ӟ{VІ۳ ķu₆28&A``㎑I)$5#E.~kqDd ::T  C 0A j0433889[1] bpKoQeeAp npKoQeeAPNG  IHDR=2gAMA7tEXtSoftwareAdobe ImageReadyqe<p5IDATx}dUs蜦'f@2", ̨+a >3$H$&0+νzWTu[U~;Piq. +*J*J*J +*J*J*J +* +*J*J +J +*J*J*J +*JJ{1KV)[iǷ \]xN?y Rw!>\+:-_M껱No ^%~`_ Rs<\|Dwny_ > ShY/hJ{Rlaq/gG=<\^AMxMQX'Ҵ aV]i/hLn"x4!hf'`t嗬p5N1MDHЕvEAHr!\NӁ d6nZ?pk}C6M0t35紑3m~7W&Ƣ/g9B. l;gգJ{[vC  7C?pS9#CJ[÷/ b?ȥWt4A3Nci|W1}y޶ x|@MrN7R +ex<,l#;;y♉QSP7 Ϣ.w¢O曫٘q˷Vtm^\9͎r:ډnfĥ5C~>~!Hyj\qU]ioMh2oQ?d =ӐC|ڪS:/ 2~wc*6f,]t(Q4퓡`f|a z9Kn mUYp :&.d_VBU1tnQ]Tne@6li[VS/7߿Ɏxhs(Tt= A999K hLeGICzo<i28.Z+hJ{ -ggV:|<6^i?j> vA'!.e3NP08 V4t MSg/ll6^6TX6sGkvFo)* ]i/u2wQA|`.E }CE| KO=IېlSG CW+7b4UXyXDAsͨ ALÃ_yb CWګrwC{t#e 4Yۋ+Q4#`eLw:ݹm\@Fx,7Q%3ҡG; NC؛8SAwCC=)oCįWpקS{o_ jVGA1@p{yzveuug8|O@>1W^hhqq?V%ϠGįeCf 37}W)ۂ O&mg~>Z!v c^2 E7bNMIii^~N\uo~uϴn7VmXi}ݡ|ei~VA꥕x,! ñ@#+U# !O1L`#k&Дu<4t }=|{[mցga| ekB8P 01*–=tU Q=&XM_t=T(y_F7J=W=~"yΑ%+sΕ-.%+Ŀp7`ճ8qz`:!?L?~;v;ϻ>3ikoi)B:"/h޶p?Pಥx{ȇorZPx5zH@%f99w=نpt"Fͭ#T%A.ȥdȦޜ%ۦEdc!9zIf,Vvk>؋vh,˶|>/;cwS]Bܨ 6؁g&F:պG.Gڏ :+ۧ<[)HRWG  n/6^iv[5 Y֜0s`#|$iNpBYS͙FeϕϼM Qs*+Q4$%U0y, #yHL#9Q/S?ŊzqNmg~GuxgH- |&s!1ٶȺal0CDE$#?z@|=ߚE)''6eۈg6R%>-xFQ?Cϰ'|0sC,LNuI.4'!s[@VB5t &#;@ؿ GmsLtOffl NN}& l?uEsk6w?iԵDF( ˒C#̎BS+l]:47^nh&>A/)AbB b}]_7#cNIzXhn{C8\`u3#} &{# h%a_F;cʢr:汔qwzW6v %h?ܖ;:|6jvH| 3u><f308SnEUjkW5;V!W!TtEz`%V45{ֵ+,PoCl$kL!Tog5pϵPz)xR]Zhh`j) (<-R$Q&3ڦIU[p.M!~p+z`@!\gj]`ά*ᚓ`VN$<*4lb^9SH"j'49}Q rc#ÛsACВ[@Oo-0{p=ntg[zx0Bu:5j=7못K!ķ\"CD+qV8]uQ 00T6 BS0NnuU4ff⨡'e/aSjdm*2}c7*w#hQP(,H4(Y1%d3ؼ_Nٙ/koLmP&l^ĩf:3␥ەh]>cdo< fD\YeuR[n<-VdeWy,N)B3'nrэ_^:oj(㈀b"Թ+=s'iXu'58#j&Gh!$Њ`GM7*1 h ؖ70caJ!EE,EpZA_p{ω=ړbxq Okm ~'"$3H2^h&xeCROl rt R(}^S s8L¾m:B9+a;؀P5~*/bFI}cYmONX!~H5s GC0!܁|mr=yqX\\hpadq` Iotq0f)Jq KW]8;lSwr2r*"=f)Q7} O2o6]B ~8< 7 O2Ȓld~As>V2CްqJum&k×uJ}B̐+uU ,F_=3K\P!nLp$yGTu ߻uqG !ϲ|v"FD(KB<80  -z6Y| BIF7ٛbp(P jq6h;/azaa7b2G}0<)ǒO24FKZsAU,4cC0 $HsY},1Ӿd&#Bu|_H tH&?f ~0qpR4^i8-sEA3 CD7&+r.Zwwq C{cn7E|s&UC7/gQd:PpV|~&*[[ jMH;=.)wDg<7^88֧M|!g &<)dD?Go?뙡q$_pϩm p=1UadSfE= t,CEPLCk1Kanٔ: f|U8E?I4e$"b*C د7YVTQ`]!Ӧ(YȔ+ڥ%Z}ygL}gm™Fg8DyRrM@Y Ap/.)wr3Q8w2x=acÊ`.A@KdyJwiìhis?%T.lQSs;Br4u}K#V;&"Oo_9"hgaxу'kY(11cf͒3ey< PBWy ) U~:' h(Uc4gESǴ\37CN-<cC7vfj#B'L %#laB8@hPrvd6)C([g5}#,@2/IKdh\=Qt{ZL/Ԩvs}쪟yc4R]6|^ݾ A Sf.*O 3@)*ӽnAEɚ 2Jg yYUGZ{Fh\W e4ې{\_L@D&G)yif 6'x0 a^\Ob-$8x"05<1yqc8e uA KLQ-S/2315𕊀EܮJ܈#vF3i5#W`9$|m3ۤ\Ob}3R8*It*Yt݁x"okϾg} ۋ<|$JwPE #s1ttaouhpZ n 5 V6 CJ`Lo܌Fo5>7.Ȍ6˟rkY{*:H}[sb@㡮d<je5#Sߦ!H"4X:h>rZgby&ϟߨI܊0esdf z঱nO}b=z*u*Otf-9y\۝:9EcƥAE䌈Ua"k6fdh(M<=h"eA-7@_ӛRH@` eJG=3iy~xS{ N=Tyݺuo:S%J#njd@v.unONc![0ؗ`²T#Y5PU')%/JO*WV$S)1UqyT ~q`Κ2-a/W6/ *,ɩ0r/|jUbXIȎas?| > xm{_30WA $m.~): Znu JnW;2~1)xz8KC eCp=g<%8Bn3ڵu}]wYdq?R&\il[v@KMxPܕ8_<GLW^< aAշ#o7"%L:Cr,28nGP!Z*Cbex Y40yL5E#Ǒ-syAWgn,_yG7unlhuA4@`獈ZYbvu"MhIܷJa2pbFn=`F `Y~2_i?PL֔일3  D).|j˿&{b#ZZ7>.؆mX^ޖXZEh\?܋~ .>.߇mmQвh\"{Cˀk 3{+G_ 3(5͌H&OTӸ4i`K}IP7/ Um"kO>'u^x # _8h~:C] 4s0{bПDq0.LN&dy bUWgŵ4kR3pB5\q8fY)}j֧LTb7,')R<}L7ἭM%式 BmkkaHAħrx{5. LQ};ؽ;}?spɌdwG5$^=ASeVѵr!G2( k0%"yxrG.Ղ ,vls+LMύNaW*{Qh$AI9wONrZmv;i_ *w}m@*w&g1i6 xH6YNe2,Lx" ZcZXPHTԜ8QBN#4jqdxFʿ!w1WA\^RVscWK0K V ,@ L7e|2zIӺiV=t.KuѬ1߬01M> _hq Ry44aYPi`jfП5s8efT${{ڐx3Sxۙ mJ|쁇.X}c݁dRb59[?`Y ]FOIlDYYU #0,7'4Ʈ隃3|XS hGU.pұ jm ]L/N`MKSZM8|Ki{c[.r2a;lH(?5;~e 5>FEh40\bG)5,LMlD?S" ek03 Aj!1d#eZ3"ohuzp7I@b&3`+3H 9Mݏ`E١cS1hI=O}4"FPp>CQ)k<&mtp 5=f_:=q[GGp 8BNN&%jMIh%y t}QC{z|ø%Y$JX Շ,6WL@jq<F I41G)_cZ'̹AwS arb3C df=*m,ԭL̚Gzs{{3L2#]Ctq(lWץc F:Z:m(=wLἯC~gi1wRV6#l\y\y$:F}.@O>wadnq]I/Λ'־;=ͫqA@kS><h#~ÝKZBg7DoIw (w0 ќ(f3U**JΌEQEzX"3E3#U'C1 "R_Y})lh0Vd24A(@ۡ'aЀ'IS׎`09Uٗ؃ 3q>zK)Sj#sNEIQ7(U4.4g*Os";B`G vq낖ӕ~>|&>w] ʝ_zh{xO U…M*ngq yK<zyR(?4.ChXF?zxu1\oȒ CGXCM0|#4 Op`i4ټjɕ6<-͟_/l`2r,L"x_ r ω-8d= /.3 V ySSz=gu6,R~u4\l%sCIke'?hlȨcE@kU# *=l/79 x ˵,) ]Ik0́E8f4_r&|30UCUX [[`m982}QdOG98\;KJ:Qǐ""$EDPg ie\Lk4(G&'?tnИA"79~5qTC`!pD:[@#ȇ|h+6KV.$dx|Mh!R ) @linw>z!ɜt9h"1cp=i-|ǒih 8hir"+:K>6T&Y& oviĿ'NCSvC2@Ɏ3ݮl9IƝ^Vw-G%v5@,킪ld.c.X6$ B]Sj5- Joo[v^ޗN^#5àQytoo;㻪tUfz pUY";t}+G;d.܏鋻Z'aQCNn9 ρ~!#|e c@1 ˅լF[[crC46fdPeDAi\aqJb$T-KҌdZ*&mvЗQ!0ǐAVa DY|.y pk鯤%Xr|3><NVӮTQ,{\*}0 t-N{js8.V")%x ĂSV`h(.ԴR?OػpFiG ԧG58@֭ۨ 8WSMݮ\wuW_Mٚ.kpš3 [ғ.~V*Y\8bvQR\5e tXN5. ms'wUE_vmG+j9U+ j|R}{@haә/J%vW&C7݄A5Gz\dM?\Rȗ$&RrRI}@zZD-~ny(_ dC'h Z^ٵʪXkJcbҳTn7SSвK}E'x&-ˤi( ۚ(5pbUkU` FosTU}]^6'b믿> hhmm 444r,y)1>:*%5,+ֱ^cS4 &b{ZVULj9S2SMȣ#9r2ܿU)Є%\n[/* tG'-w*o|#C!3lCɁ`ӈz>xÝ5!)< 072*' Uunpm[55_ ,hX>I"םE iXF f 78RBg"Qe+3K#prKM?FcPLI'*pGdZ_K;T @2 }U]:zna~B  "1y%EuƗiiim IHfjCVXiFw ]y/ݨ eQd6C((6|9,~ L*esxL8}."~6qi)54]6 " s&vxϙ-PuB")XBd_lCBv%;쾒w>=b%^fݡJCmZ[ߌƢ'Pԟ hO"[|t >Rj8lQrsPFpF&?G&H] 9(_b#K4(9F*f0?u{ ;V4©- o!V!F 5vzG'N-{?OSk?=-_,]&Ĺi֪QQdA݀ NsOFl D5@Mډ)ӚHY,bGVh4@AnL4^LڡDQGV^RQ{ƇÍFN˚뺹E˱2]h8Ў A71hHPFG]0f kG|jdS'38n@n|δ h0 qQ>yR ψT\~Foy[vq eAaC 71< }\FƉ&,ݜw{uw Cw§<VCp}9WЦ4 5Jh>(CDZxDe+_4Vs:lH-\Q82Lz( )P *TJ%v;P\{T59AׯAih'3"qR7QEWbmkx|8<%O?Ɓ}R0 :TZvXE ס"ow#U4#'ryeEy/"`m$ĉ߾vծEKlKWUђN#r>cl2ϣr}S(Qh|Rt;O GA#qw$eVmY tɾ,iNp9l]3z8+ Onw(?ҏ 8ɤXgzp*NY,RU6"luG7CVE<;=iI3`eSb^5V^Z؃?]NؑMW=Kh?,*vi- ;aN]솖#@Em'ѸlD֠qYIh;ʓ-r#rIS`ƵL]dH:d3E.\_=uϧyu|ܾ7c{w?كcگp X+ն{v A!5]w+hq5ֺc^ZWNjHmcƥ{a\NzjIBGpkuSc;A&!V93]|ƶ A P".ǸX&+hLu}2@0yŌ4vKMX\9^[Ͳ%~vw"p/x:]4! b5&vı)qPTFt؊>l Lc#08l'Ri1 ]T/r쨇Xg0~?_urdUJMh4L/sQ4<t@+ sa4Dm5lut(cpg2-'&؛xQto5X!R་tg\*RA5slX^YXxи^#FAqhfطk=ʲIy]P׺M3=<B>+&Myѵ (3P.@La"~EFndjQ2e%z n$@WZk̰Y%2|1en4FLbHLLXo$'uetmNKI nG93ک%L#`*ըw .Z>x!;֙No'5u&/]">{3pZ1x R ɏ3K M==Xl,t8 ~O2X\@ Q>''U4?C0[^7aҼ4Fɸ,4.W랿Ug_Wec.f髽1QvtnɌv@"4$ڮ={YϋRN] }ÄV. F,b t4s)+*2j ' F#P?8[y64)phnlkuW5GUL8Zr';?!4;b:BQ,Lny'i`,,b3GYdTa<9$eM{'$}Oшψ!㲹תE/Y9z&NJ=KֽV5Sq9`{LU\w7+4)1p`F'2= }G.xhW p?jt1)i*:P hM#;Bֺ;  h{4svsgTVY5s5VS, 53[]S4!?J tV` ¦Ƕ_ ,s)&G?x;ggM1Ljpy"g,NES3ԩwnGfW;kC:e[vD&<*kz:pZmב~L'Fa!ЂNu/K#b2ؕY,xcr,iP]um_J /iƥU4ø$&7SP=~ ٭@tVTUjf xclG9.\x"!J'2,F}{Q !GfbO]1*vZQ6NClmurAda,(4Y 3!,#i"!\tyfy blhQt :eI]M&]hYI ys(46H42gF|M4WE'COK#9Գ,W9ѭTY\(kMjEOXTL"6"3{@=HmzbmdٻB/?5C7'=ݸU܀;$'˲]Q: KkCϏWWG>?Lb /TANc^hIY 0595Mp'QNSC=( yA%1NQ65G/,NNC!dP7Ϛ nIppn"x0R.A b623glͤS"}98}cM}јB;Bid4+7q*QcѳvwkظhZN㩃߬?k F!"ԈUE72>.= ) ^N+c_tR\ާRp6h[FKK&ūpGlMQy*eN;NˣJN}%J#kƘ"-,أD#9DYpީʉtKlFʌcusAV\ރ1"PT*iieq;ЯP! ASp穎UF1er|`8ZM15l$tuD: T˜2IPm|`>4pYbo^4pd\&@zjVmD Apa%@uUu.\PZS4 ^(nCw\);=TteJ! C} E;&e[MtN;kZ5g LŠoۃ;Sl䋫n~cU-AsEK#xȼ,y\H!M1 /-7j@(Rѩƌ-02< jA.G֝dJ~!&9[ 32F$5ŴfUf4?Mwc5Y:s)WU3jdj.AԺgSiPMː5+d>$D{FgмZS",+w(=Z~e΃?&o5ƗFV_Eidɔ+L,[@Ӌ(;}&B$ζ6% zdj (@*g@fYoz)fSc3|m\ T3UK2Ri}%%ӵOױF޷ {Be@=Դ"-i3T Mhh_H3WU=і5?#РYZxSϥ@hʄV tr$N}1C0:: f͂ +*ff4WKM%v8c MZiM8PJ@pBJ;xx7־f$fw{ߛy#gqZ9Dh~{o}97?d2`sl:Sx<KM{*xTu2[c ('fC-uq;t ௬7s#-r>ٸ&jI>Y4uLJD*<}ds46m b 90,w­>RcS erX.)ȓ߂Fv]I!nXV(ǓihjZh*++mbjjYlMiVciyniK pS!B.g{ $ D.4ey5AVώ9}(QVd=`̝abU+HK^.[$XbP\s kƓ6F9{ %̹8!R@ oB@pbk#I򶱪RHQj]pyxzBjZ޸ݘT{}SiJՌ(tEM7}dN.7"c==˺Ihu\S98Vd)"r3-0K\Z5y͇@orDS0ƿ'eR_<{,AաjMV _WhIFA| YQ\ZܦW,S$K>g֛kZL’|{, -ð`_Oc#^Nx!S+I"\w+\6Wm>] _KDੀ sg#sx[*-6 nf1guE+|qM6T<̢4A-.EG$)A`a-ApxтxT$be^ wƻꦥD)2ܽ;heAprǬTSɹ7%8Ӎ`Ɠ5D4dH H]Z˚QYow1`5yGU^Ma:၊@rR>V1 %u aR`A%ըҢܣW^ %*n; -,t<Ag{.L(ReA̰JvrZR !O50d&ibq&mi5hd, h67)MaiuMx+Gf+KbM_"8GO%W7&I=/xkͼnw0S LȇsDD@+DklFUwDS6] 1Ђo_ m.A|}qx 7nj**hŽU%j h/.AEEOߖh@ǧ{ jԥ@ + xP Bwo/bђdKyY*B2H9JTXPuX$qs}kW+C*ɉ>3׉Sw+Rۓ]5ʺgT_rA )>܈CwD::Vݷp>"f!2y+歛aAi:_%x+= Gj$A!gaM4h(f-k .*r'!fb6m?^{$ wMw[(',رcJ Q!6UU&bpO$hhY$"#_9Gq!ij8phyt;9=} t%z_>ɮWѳдu$"NAnw7宖- eR{]H^U/"@IjG) ZNG#v K>irsRjS42P SKJĎ ?6Z |:hoֵ.U0"4QD)9~ Os3*?jdxi9[.(G4!z+g+Nm$2ҲQ+n?o٢m*UfcѬPH5tlH%u-fh{r yBތ $$:/6=]L!XYGGW D<*HFf<1$(߷T&*]ZZV%w4Ik*"uJ 3)] j}#t.ǹWFν,%4Ĝ`Zm=k@&Y'FX=pc^s\B}]刜$JP %W5p=VMNW짾9gΪqQZm,j=66 oZe++nD>P5dJjkm3=;e 94--gv U=93B2Z40x^T}9SĀGߋ)Y0i׎e:FA$$y@U ȥLK`c' mte%"Y0tXҌ($1ƗAm(th'b4n0jP[LxE(!5nX]{v$ws\z/0s;YtCCCȣ"c=լAcHKKNf\e&i`onjA^W<9xJ|>`pOA)zRcut'\ r> 75<2 S󰴵N+SYU$eD.QtE;ů$ŽyuzZT\S54{KCu@^'z_1{ȕML,ef3g;ƨlDJea$M7eB!zR\4e7?1f> '4*^i{0%Wi!C[<{7_xV;t:4F'F9ZL)wwƋBN566 B+avZYL66B6B@?Xd#UK8Z4=>t:F>c\)qVAfuw'aӆft> SClMnDijw39,sЋu5'f胱0Z=ښjXW* άliO&\LfK; rxJȦn6>}Kvggm{<\AU(尶`6IIw!˹ӛ_=rgW1W8&PGGK=(J-@bibl53NMX*069>N'a. cxH{PR 5edD*4<5V zzGzi(]S8 gӞK[o"ʻjJn-6nžlto9aaYki܁d}]ՋRAz"S4~p~iк Cѹ\FN 3 aEN?=!DÚ 9 CL!K0kߐ_D+w(Y Y#;v _ȝwI֭;\z@ꜦD%rKfvv*** L-H7!Z ϧ8yPCpXwe3`^zI 5{z81˜-r5@G 䗁hx$^hsU+]٠m.ׅmBz|x+L>BDys?Eh5СC}۷oE'݌C fPK} u*B3::JǾ"%ֿu7[_T6;%bj-95vA,Bte]7~7O"^ P'ܹb>z~d,[/41jriu]UtC}?+x+>}#h !ЀI6 ""h[z!%oe-SMrܺүzUer? _}ݩ牙]Q$rõ-xVBPA'd!Rоjp<šx<`}cJ1_>3%0<2i]'K=ᦷף' F:zLwSP gI-,m(G\˖>ee2KB,46#e+yr`zo@#i62sn[6 DtI[w>_bWkϵ_%|:}BP_a;]w}xG=&!VUF1-drr2uzx:688؇9KdonO<*>;4̥gxbr3Ğ3o:4/T>/>Ъhr++Ǘz4Z>*/cMh]\OO#cs/{ i#G7}!BIDL BLC:>?Ҵ̹*l/zDoїйDw-Nw5~@M̜Ky埀rHG<A !@M]ʣ>~ :Xe'@jk!LIf9]`xbhj*S;WءM`xmvYss|/Zc92;ۑPM,*:ncp{3ݻO8pH$29aE7G;C?)G(HRLMFbѓ<~ >:;^C:HZ[ȑ ~aF$T@l^ӽYT?=9@zH6aPYͣ q/ت {l}llN.\m`-+Vŷcǎu#Kt{\\`ֲ~GK^AD~wuy\s/~n $h}]yP$XR!U 5LݟVZlzc f"P* `+,g[\wEupLJY<3̂&ˆ^j =BKi~*+tgRZ#Y1S#3Z*8H!DT>/hu{]@67+)d|[?ɟ'h |rg b[q> {6ލÿum(Fd4q픃>;$)k2̼(I桿*|5&(g^yY2ѵ.)-g- ?6?9?W͓H =qGoL-0 Tt0jKO^ث=5l#9ZrDney^DhrRyU^Q'\A%9݆ZxU?C(2ؼh#[X>z/Ji󚒒kssMYMH 1~L*9t>*j3eo|u#;zu%U~IPĿy|i+ ,Z5+W{žgKpI Z\4SO6Z֛yy.[$7.m}u:GFi^ 2m:#{CXWb _Vz```,HDq)؛_0>9IC?ۥ0g1444m'/m4x).<Q*enhJ#5gš zA,9&dޙO$Xᱱs#d7Y,q :%'KGI/* rٽ'OA$VGLjauv1uChiy&{`d|~yh)8Yoq\f)yWӪ1=jR3ö+qϱЗ~iSZf=n7r/:l&ߡ'n ]2+﨎o. ˟`aʐlImn"mL4~9E`zaRUG [׻2vrL%^tvEIU!r0Z t`5 BUh8Qu(^<x0|E6 +Fn/TwN9.- v2$VNJ[a;g9^cE f׷,З~Y; gYr,g9v@;Yr,g9v@;Yr,g9v@;Yr,g9v@;Yr,g9v@;Yr,g %O.pwIENDB`T >>\ t=.Tġ S; Z~!P9giCڧ!# B,;X=ۻ,I2UWV9$lk=Aj;{AP79|s*Y;̠[MCۿhf]o{oY=1kyVV5E8Vk+֜\80X4D)!!?*|fv u"xA@T_q64)kڬuV7 t '%;i9s9x,ڎ-45xd8?ǘd/Y|t &LILJ`& -Gt/PK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 0_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!0C)theme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK] '9AINV[asux{~ ?ADX_fiqy*46;>@DH^ _HmH nH sH tH 8`8 Normal_HmH sH tH F@F  Heading 1$$@&a$ CJOJQJL@L  Heading 2$$@&a$5CJOJQJ\DA D Default Paragraph FontVi@V  Table Normal :V 44 la (k (No List 8>@8 Title$a$ CJOJQJ@B@@ Body Text$a$ CJOJQJzz < Table Grid7:V05$7$8$9DH$P@"P U{0 Balloon TextCJOJQJaJmHsHtHNo1N U{0Balloon Text CharCJOJQJ^JaJPK![Content_Types].xmlN0EH-J@%ǎǢ|ș$زULTB l,3;rØJB+$G]7O٭V$ !)O^rC$y@/yH*񄴽)޵߻UDb`}"qۋJחX^)I`nEp)liV[]1M<OP6r=zgbIguSebORD۫qu gZo~ٺlAplxpT0+[}`jzAV2Fi@qv֬5\|ʜ̭NleXdsjcs7f W+Ն7`g ȘJj|h(KD- dXiJ؇(x$( :;˹! I_TS 1?E??ZBΪmU/?~xY'y5g&΋/ɋ>GMGeD3Vq%'#q$8K)fw9:ĵ x}rxwr:\TZaG*y8IjbRc|XŻǿI u3KGnD1NIBs RuK>V.EL+M2#'fi ~V vl{u8zH *:(W☕ ~JTe\O*tHGHY}KNP*ݾ˦TѼ9/#A7qZ$*c?qUnwN%Oi4 =3N)cbJ uV4(Tn 7_?m-ٛ{UBwznʜ"Z xJZp; {/<P;,)''KQk5qpN8KGbe Sd̛\17 pa>SR! 3K4'+rzQ TTIIvt]Kc⫲K#v5+|D~O@%\w_nN[L9KqgVhn R!y+Un;*&/Hr !(3>BGJMPSV4Mf}8PS( o&          ! " # $ %    '()*+OP/Sb  '(-:.0PTYZfrmqjpuy|}kluvVXWcvYde. + , - ; / : 0 '9AINV[asux{~ ?ADX_fiqy*46;>@DH !(3>BGJMPSV4Mf}8PSV  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrs"J &(1t7\=@GJfP)TNU\Xhgs>{(׋rZ{0X247 8ILMQTX[]`bfhknpqvy} K )HR#A%&(,16:2>?p@@GHQJ:KUPZQNUYZ\B_EbhDmrt?{˃ Ĉދ;tc|0147 8JKNOPRSUVWYZ\^_acdegijlmorstuwxz{|~HHHHI I::4HJMacQegNbdV:::::@ = -=@p-< (  \B 7@ S D"?L\B 8@ S D"?E\B 9 S D"?D\B :@ S D"?GbB ;@ c $D"?IbB <@ c $DԔ"?FP   ;"?2 ;b rH%  ) #" ?3ZB &B S D9]%]ZB ' S D9]9 h ' 3 <"`LH s <h ( 3 ="`r 4 =\B +@ S D"?;\B , S D"?9h - C >-#" `?4 >h . C @.#" `?: @bB /@ c $DԔ"?7t 0 c $A0#" `?< Ah : C ?:#" `?6 ?bB G c $D"?8bB H@ c $D"?=n  f!% [ C"?>`B K c $Do \%ZB L S D %ZB M S Dk%k%n P C BP"`# L% B`B Q c $DoO z%ZB R S DO O%ZB S S D@%f!%n T C CT"`\ _" CZB U S DO *! n Y C DY"`aW!l # Dn Z C EZ"`"$ EB !@ DԔ^@ D88DD8JXMUUHD#" ?1B "@ DԔ^@ 'e'r GJ KS9UShQ INF$B>e'e"?0B #@ s xDN@ iOiONR3U3UzQiO"?/B $ s xDN@ KL`T`TLK"?.  c R:.@`T`T`T`T#" `?- :   c R5 .@`T`T`T`T#" `?( 5   c R9 .@`T`T`T`T#" `?, 9  c R6.@`T`T`T`T#" `?) 6  c R8.@`T`T`T`T#" `?+ 8  c R7.@`T`T`T`T#" `?* 7* * -- dC ö@%i^iSj#j4` ;I jL2RR1R3R?jLbC;IXM4N*XM#KIS2i'i%i#" ?'n b C 4b"`Ul* , 4P2 c  "`*N --Dn * -- e C"??n f C Ff"`Ul* , FP2 g  "`*N --h j C Mj#" `?K Mh m C Jm#" `?C Jb p 3 N#" `?M Nb q 3 L#" `?J Lh r C Hr#" `?A H4t (_ 1) # C"?5TB  C D1)_ 1)TB  C D (_ 1)h  C s#" `?t sn dq1,+; f C"?QTB gB C D#q1#+;TB h C D#q1,q1`B iB c $DԔu7#u7TB j C Dq1#f7n k C Zk"`? 5{%7 Zn l C [l"` \7%8 [TB m C Da7E:t P25 n# #" di9a!;TB o C D4D4TB p C D024TB q C D03p542 r T34TB s C D(P2d4TB tB C D4d5n u C \u"`^.3$4 \n v C ]v"`%\2*3 ] V S LdV. S`TS`T#" `?U db W 3 fW#" `?W fh X C eX#" `?V eh Y C iY#" `?a i4t  )1 1 Z# C"?YTB [ C D 1 1TB \ C D )1 14t  )1 1 ]# C"?ZTB ^ C D 1 1TB _ C D )1 14t  )1 1 `# C"?[TB a C D 1 1TB b C D )1 1h c C gc#" `?\ gh d C jd#" `?b jh e C ke#" `?c kb C,&O9 f #" ?X`B gB c $DC/o 1`B hB c $D/-B5`B i c $Dc,.`B jB c $D5 O9`B kB c $DA4d6`B l c $DS%4&s64t  )1 1 m# C"?`TB n C D 1 1TB o C D )1 14t  )1 1 p# C"?_TB q C D 1 1TB r C D )1 14t  )1 1 s# C"?^TB t C D 1 1TB u C D )1 1h v C hv#" `?] hP o  "?   s X)0e0e.@`T`T`T`T"?! )  s XI0e0e. ``T`T`T`T#"  ?B I  s XK0e0e. ``T`T`T`T#"  ?H K "/+( 3 XF@  AAAPANMANMC"?NB CB s xDN@ KHHK PUUSOK#" YJ? '-B DB s Df@ hTDPFLRO`T7P`T(V`TT1OgQ;LG G0h#" J? '%B EB DԔV@ TTf L UcU U`TLSPRHIFYT#"  K?P-%B F c RD.@SS#" dK?--%B G c bD>@** TU#" K?%-%B H c RD.@SS#" L?%B I c bD>@h**SUh#" oL? 'B J c RD.@OO#" L? 'f 'nB K c RD.@OO#" !M?fnB L c bD>@ ,,iOM^ #" zM?<6 B M c bD>@2,2,]RdX#" M?r%&B N c bD>@++Q [#" ,N?'(B O c RD.@OO#" N?-f-nB P c bD>@2,2,]RdX#" N?*c- u c ROu.@`T`T`T`T3"`7O?"!# O y c RPy.@`T`T`T`T3"`O?@ D&g P | S LQ.@`T`T`T`T3"`O?(`+ Q } c RR}.@`T`T`T`T3"`BP?#&u! R  S LS.@`T`T`T`T3"`P?Y&?"7($ S  S LT.@`T`T`T`T3"`MQ?- /" T  S LU.@`T`T`T`T3"`Q?%%'+( U  s XV0e0e.@`T`T`T`T#" R?(+  V  s XW0e0e.@`T`T`T`T#" V?+-;" W  s XX0e0e.@`T`T`T`T"?O Xn x!"=&  C"?SfB  s *?Hn%o%fB  s *?x!d%tB  s *?"H"y\%  <_pppp?"x!# _  <`pppp?"!"U# `  <apppp?"Hl#9% a  <bpppp?"hl#Y =& b`B  c $?"0#nB  c $?"h##  ^Y0e0e.@`T`T`T`T"?P Y < u$, e3  ` s s $ (-925=6s I@ dX!dX"U3 U3S?3K:TJED]E?R$ S{Rmf&m!C! #" ?"B   0e0eD1Y?V `  LK~KHSH`T.XNWLO L3"Ԕ?edyB ! 0e0eD1Y?^ ` AI JMXMX=XXXWNViO8I3"Ԕ?uiB "B 0e0eD1Y?n ` \ 4t v9 G1J^HW^XUWU~KwQ G2^/.3"Ԕ?h$4+B $ 0e0eD 1Y?> `zWXVU3"Ԕ?B %B 0e0eD 1Y?> `zWXVU3"Ԕ?$i +i ' s X*0e0e. ``T`T`T`T#"  0 * ( s X+0e0e. ``T`T`T`T#"  L'$, + ) c $,0e0e #"  ( , * s X-0e0e. ``T`T`T`T#"  ( - + s X.0e0e. ``T`T`T`T#"  `'(H+4 .&n !  L C"?#ZB M S D!{ ZB N S D J n O C /O"`]   /n P C 0P"`JW  00X '*. ' 3 @5/-F- t$ ;_7M=E2H?E2?0I2`T8`T5:SS>wL>1G>6E;H?T=5:4S90*E7@O/ O < E75C"?$vn \+ , #" ?'*.TB - C DX*ZB . S D,\+,n / C 1/"`P# 142 0 "@$42 1 %'TB 2 C D$D%TB 3 C D"" TB 4 C D!#TB 5 C D##TB 6 C D#l%TB 7 C Dl%&`B 8 c $DԔ$$ZB 9 S D$&|ZB :B S D%&V2 Q  #" ?,+ s,2 R )BQCIENGFH JIQ :`TB)QL5:`TB)QL5IB)QL5I#" ?#) %++ S s X20e0e.@`T`T`T`T"?% 2  ^^0e0e.@`T`T`T`T"?R ^  ^c0e0e.@`T`T`T`T"?T c  s X30e0e. ``T`T`T`T#"  ?& 3  s XG0e0e. ``T`T`T`T#"  ?@ GB  0e0eDJ~Y?F@ U UUT#" Ԕ?B  0e0eDJ~Y?F@ U UUT#" Ԕ?B  0e0eDJ~Y?F@ U UUT#" Ԕ?B  0e0eDJ~Y?F@ U UUT#" Ԕ?B  0e0eDJ~Y?F@ U UUT#" Ԕ?B  0e0eDJ~Y?F@ U UUT#" Ԕ?B  0e0eDJ~Y?F@ U UUT#" Ԕ? B  0e0eDJ~Y?F@ U UUT#" Ԕ?   0e0eJ~jJY?F@ V)VVvV_UT3" Ԕ?b qA2'8  #" ?ZB  S DqA2q8ZB  S DqA2'A2`B  c $DԔ2H'w8 >q+* 3 n@ ''h''Se(Se(TTSe(he('C"? B  c RD.@**#" [?>!q+!B  c RD.@SS#" ]?g#g#*  c R .@`T`T`T`T3"`_?70*5"    c R .@`T`T`T`T3"`a?1!O$*  b U   #" ?ZB  S Du u  ZB  S DUn  C "`pA  n  C "`B |  b d/{  #" ?ZB  S Ds{ZB  S Dd/dn  C "`C n  C "` dW n  C "`2 / b F|)  #" ?ZB  S Diw%iZB  S Diq`B  c $DԔiI&qn  C "`(p n  C "`ZF&% n  C "`!m|) h  C #" `? >  r.a 3 æ@ o5 d9R   KKKi7H@8G8D}8 9u835 #" ?  L&y 0 C ~@jt| *0 `01B1S2S243 c|_jjC"?rMZB  S D &&ZB  S D' 0z  c $"`L8'e* z  c $"`)y,  (&0/ C F.@`T`T`T`TC"?4&&.hn  C "`(&// n  C  "`J(D*0}-  B  s DV@ KMO`T`TNK#" d?  B  s xDN@ rJ--rJ=PVVNrJ#" 0? | |B  DԔ^@ @@2EJCNGQPS WSJU3J#" ?* 0  ^!.@`T`T`T`T3"`?[ !  c R".@`T`T`T`T3"`? "  c R#.@`T`T`T`T3"``? !% #  c R$.@`T`T`T`T3"`,?Y a $h  C %#" `? %\B  S D"?h  C & #" `? &\B  S D"?h  C ' #" `? '\B  S D"? \B  S D"?h  C ( #" `? (\B  S D"?\B  S D"?\B  S D"? ( D~/ < 3 î@,?jHIhJQJSKSK?N?bP!;bP(3TN*nKBQK K~IT-,C"? B  Don@ @8F>AZO,L^SXM^SV^SURHPLC$EH?#" ? NB  s XD.@SS#" ? X `B   s hD>@L**SUL#" }?    c R .@`T`T`T`T3"`?b 2     c R .@`T`T`T`T3"`{? Xt B  B Dov@X x(#6PF6XM@8R6=RVYR`T:#G.+(##" ?vvB  s XD.@SS#" y?vDvLB   s hD>@L**SUL#" ?   c R .@`T`T`T`T3"`w?B0    c R .@`T`T`T`T3"`? B   Don@  + v1.`T2`T]`T]=@Q.@8+ #" u?*b-lB  s XD.@SS#" ?**B   s hD>@L**SUL#" s?R'Z.   c R .@`T`T`T`T3"`?*!f-=    c R  .@`T`T`T`T3"`q?N,~/|    2<  3 (@"$W EH444p)p)%(k*ke- H&~K&jQk`T<<U=W=WnBWnBT@K9E4/=39084 e-p)%p)z3K@*@K:Oh W C"?"B  0e0eDJ~Y?~@iq;h _"?L6FM^FM^SWM^WV`TLS>DL >"?9i#" Ԕ74 ;"B   0e0eDJ~Y?~@iq;h _"?L6FM^FM^SWM^WV`TLS>DL >"?9i#" Ԕ c9<   ^ 0e0e .@`T`T`T`T"`8k;     ^ 0e0e .@`T`T`T`T"'9;  B   0e0eD8cY?n@ I c`53mF AI Q Q VQLXS .MI#" Ԕ4H 4B   0e0eD8cY?n@ I c`53mF AI Q Q VQLXS .MI#" Ԕ44   s X0e0e.@`T`T`T`T"`36  !  s X0e0e.@`T`T`T`T" 335  "  s X0e0e.@`T`T`T`T"2@ 4  #  s X0e0e.@`T`T`T`T" 2h'5  $  s X0e0e.@`T`T`T`T"07x 9  %  s X0e0e.@`T`T`T`T"t8+;  & s X0e0e.@`T`T`T`T"?   ( s X0e0e.@`T`T`T`T"? B ) 0e0eDJ~Y?F@ U UUT#" Ԕ?t + c $m+ #" `?n mt , c $n, #" `?o nt - c $o- #" `?p ot . c $l. #" `?m lt / c $q/ #" `?r qt 0 c $t0 #" `?u tVB 1 C D"?fVB 2 C D"?k6b 3 "?l6 4 "?g6" 5 "?e62 6 "?j62 7 "?i6b 8 "?d\B 9 S D"?h : s Xr0e0e. ``T`T`T`T#"  ?s r ; s Xp0e0e.@_T_T`T`T#"  ?q pB S  ?/ QR%{ jkmopq;!#(************+4,, - - - - ----(-...B/D/E/F/G/H/I/Z/[/\/]/^/r///:>DCEIINNNNNNNNNNNNNNmmmmmmmmmUnopswttsx{x|x( 0`o (t|4'|&&p&H&) p'&'\&&/H'/& H|*< jV*Bu( t) (@ t& t tE t'Q${tdc+  #;t jt xt  -"t 't Elt I& I&t /gt )It n/"nt -__t8l+e4(LTt' c0*S|*pt@d2  g~#LwtuW& D/$f Cf #f CZC" CZj!;)t)5"5t- tt:t/g$6tG%$%\t,m3mkt.* t+m3$3t0!tH%t[Bte%9Tt@r ,%Xt> t@mD Ft9] 3 3t8\ $t<3%t: 3%3t,H@;?tq9_(tjnt7utp\Kt"^ 6 |*f4%: tW*+)t4d)hV"M*`@X}tWtfW! tZXt]%v$ t` vtct#tvztsZtpitmUiTtY tdi2)te#%t8 d2t5 R16t1 n!t4 =  t9 {Kt7 6t6 Rt2 n ! t3 wE t. &t+ ^t,  t- t; q$% / % }I't: (H&t@; j=T0 %et OLE_LINK20 OLE_LINK60 OLE_LINK54 OLE_LINK61 OLE_LINK55 OLE_LINK56 OLE_LINK58 OLE_LINK57 OLE_LINK59":;FCCE^fC:<CEEJgCJgp3: [!_!!!&&'('889:kkllkypy{{|||| ĄDŽ.9  [`Xb#=G[^!!""''%((())++0-2-3 3366677889:==FF~HHHHoMMMMMM8N9NNNCOMOTOWOQQ@RCRRRTTTTTTTTUUVVVVvvv ˁׁ:I܂׃ڃ؄لۄ܄IQSX  333333333333333333333333333333333333333333333333333333333333333333333333333333333333333dqq ?VIJ)hIOrz-_fG'*/:3OV0!Nv,#6+Ep|Gy >pI$/|^&n|P?&z~'$B Q+n|<+8\;k)4"޻@I58tj;(aTB"޻TH2j=I| K2$'MZ4M0LYPT7'Q$#QR:9hS|V5NZ2Wv@,Z.2|wK`Pve)=8f^Tl;lzlB'(hoW gCqV+HdrL OwI[#z(a^`o(. ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH.^`o() ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.8^8`o() ^`hH.  L^ `LhH.  ^ `hH. x^x`hH. HL^H`LhH. ^`hH. ^`hH. L^`LhH.^`o(.^`o(.*o Mo ^o `Mo() @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.$ ^`o(hH. ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH.^`o() ^ `. L^ `L.x^x`.H^H`.L^`L.^`.^`.L^`L.^`o() ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH.^`o() ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH.^`o() p^p`hHSummaryInformation()'DocumentSummaryInformation8.8CompObj3r  < H T `lt|Vectors J. WarwickNormalLyzinski,John8Microsoft Office Word@J6@&;'d@6N@T I/_m՜.+,0 hp  Council Rock High SchoolAM Vectors Title  F Microsoft Word 97-2003 Document MSWordDocWord.Document.89q. @ L^@ `LhH. ^`hH. ^`hH. L^`LhH. ^`hH. P^P`hH.  L^ `LhH.^`OJPJQJ^J)  ^ `hH.  L^ `LhH. x^x`hH. H^H`hH. L^`LhH. ^`hH. ^`hH. L^`LhH.^`o() ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.^`o() ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH.^`OJPJQJ^J)  ^ `hH.  L^ `LhH. x^x`hH. H^H`hH. L^`LhH. ^`hH. ^`hH. L^`LhH.^`o(.^`o() pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH. ^`o(hH. ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH. ^`OJQJo("  ^`OJQJo("  pp^p`OJQJo("  @ @ ^@ `OJQJo("  ^`OJQJo("  ^`OJQJo("  ^`OJQJo("  ^`OJQJo("  PP^P`OJQJo("  ^`o(hH) ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH., ^`o(hH. ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH.^`)^`)pp^p`)@ @ ^@ `)^`)^`)^`)^`)PP^P`)^`o() ^ `. L^ `L.x^x`.H^H`.L^`L.^`.^`.L^`L. ^`o(hH. ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH., ^`o(hH) ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH. ^`OJQJo("  ^`OJQJo("  pp^p`OJQJo("  @ @ ^@ `OJQJo("  ^`OJQJo("  ^`OJQJo("  ^`OJQJo("  ^`OJQJo("  PP^P`OJQJo(" , ^`o(hH) ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH.3 ^`o(hH) ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH.88^8`o() ^`hH.  L ^ `LhH.   ^ `hH. xx^x`hH. HLH^H`LhH. ^`hH. ^`hH. L^`LhH.^`o(.^`o() pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.3 ^`o(hH. h^h`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH. ^`OJQJo("  ^`OJQJo("  pp^p`OJQJo("  @ @ ^@ `OJQJo("  ^`OJQJo("  ^`OJQJo("  ^`OJQJo("  ^`OJQJo("  PP^P`OJQJo("  ^`OJQJo("  ^`OJQJo("  pp^p`OJQJo("  @ @ ^@ `OJQJo("  ^`OJQJo("  ^`OJQJo("  ^`OJQJo("  ^`OJQJo("  PP^P`OJQJo(" 4^4`o() ^`hH. L^`LhH.  ^ `hH. t^t`hH. DL^D`LhH. ^`hH. ^`hH. L^`LhH. ^`OJQJo("  ^`OJQJo("  pp^p`OJQJo("  @ @ ^@ `OJQJo("  ^`OJQJo("  ^`OJQJo("  ^`OJQJo("  ^`OJQJo("  PP^P`OJQJo(" ^`o() ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH. ^`o(hH) ^`hH. pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.^`)^`)pp^p`)@ @ ^@ `)^`)^`)^`)^`)PP^P`)  ^ `o()   ^ `hH. xLx^x`LhH. HH^H`hH. ^`hH. L^`LhH. ^`hH. ^`hH. X LX ^X `LhH.^`o(.^`OJPJQJ^J) pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.^`o() ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH.^`o() ^ `. L^ `L.x^x`.H^H`.L^`L.^`.^`.L^`L. \^ `\o() ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH., ^`o(hH. ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PL^P`LhH.)(hoYP3OQR,Z@I5j=I|Vl;lT<=8fM<+G' Q+ Ow&|GygCqpI$Z2W6+EP?&-_8ehIO[#zTH|wK`~'+Hdr#l<>Bk)4Nvj;7'Q K$'M))         J3        @h        6#,d%T      0֡                ,Fl        ":        '        ?        J3        d        ?         d       2œZӘLr_h`z|p>EO}        0~o^귞_ ](",yZFJp        `ƿ        i4w        L|+vZBr2Z0E,"{@1ʡ        |        vi,       |        ɖb۬մӒp,_H.俔,Ju^Vt>ʔ )(oF{~2:ԍVcbgH        |!<z8b d_<3rԘ F;        \:        v $OʒHʜFbHQH L|2        t%4N       FMF        ,        hP         =        yV0EE=S?~B@   | ,-/0++ބ@,@6p@:x@ @0UnknownG*Ax Times New Roman5Symbol3. *Cx ArialCNComic Sans MS;Wingdings5. .[`)TahomaA$BCambria Math"Ah`1%&/_mA/_mA!24MM 2QHX?/`2 Vectors J. Warwick Lyzinski,John)                           ! " # $ % & ' (