ࡱ> CFBc bjbj 4*؎U\؎U\/ $421111111$ 351 1 1 .1 1 /|NJ110* 7+50}1102G0b6G`b6$11b611L 11B2b6> Z: Velocity/Acceleration Worksheets Calculating Average Speed Graph the following data on the grid below and answer the questions at the bottom of the page. SHOW WORK! Time (sec) Distance (m) 0 0 m/s 50 50 m/s 75 37.5 m/s 90 30 m/s 110 27.5 m/s 125 25 m/s What is the average speed after two seconds? 43.75 m/s2 (50 + 37.5 / 2) After three seconds? 39.16 m/s2 (50 + 37.5 +30 / 3) After 5 seconds? 34 m/s2 (50 + 37.5 + 30 + 27.5 + 25 / 5) What is the average speed between two and four minutes? 31.7 m/s2 What is the average speed between four and five minutes? 26.25 m/s2 Acceleration Calculations Acceleration means a change in speed or direction. It can also be defined as a change in velocity per unit time.  A= ! Initial Velocity Final Velocity Time Acceleration 1. 0m/s 24 m/s 3 s __________8m/s2 (24/3)________ 2. 0 m/s 35 m/s 5 s _______7 m/s2 (35/5)__________ 3. 20 m/s 60 m/s 10 s ____4m/s2 (60-20 / 10)_________ 4. 50 m/s 150 m/s 5 s ___20 m/s2 (150-50 / 5)___________ 5. 25 m/s 1200 m/s 3600 s ____.33 m/s2 (1200-25 / 3600)______ A car accelerates from a standstill to 60 m/s in 10 seconds. What is the acceleration? 6 m/s2 A car accelerates from 25 km/hr to 55 km/hr in 30 seconds. What is its acceleration? 1 m/s2 A train is accelerating at a rate of 2 m/s. If its initial velocity is 20 m/s, what is its velocity after 30 seconds? 80 m/s2 (x-20m/s/30s=2 m/s) Solve for X. Graphing Velocity vs Time Plot the following data on the graph and answer the questions below. SHOW WORK IF APPLIES!  Speed (m/s) Time (sec) 0 0 0 m/s2 10 2 5 m/s2 20 4 5 m/s2 30 6 5 m/s2 40 8 5 m/s2 50 10 5 m/s2 1. As time increases, what happens to the speed? _It remains constant__ 2. What is the speed at 5 seconds? ___20.5 m/s 3. Assuming constant acceleration, what would be the speed at 14 seconds? _90 m/s 4. At what time would the object reach a speed of 45 m/s? __9 sec________ 5. What is the objects acceleration? 5 m/s2 6. What would the shape of the graph be if a speed of 50 m/s is maintained from 10s to 20 s?  7. Based on the information in Problem 6, calculate the acceleration from 10 s to 20 s. 0 m/s 2 the acceleration remains constant What would the shape of the graph b if the speed of the object decreased from 50 m/s at 20 s to 30 m/s at 40 s?  Decelerated Graphing Distance vs. Time Plot the following data on the graph and answer the following questions below. SHOW WORK IF APPLIES! Distance (m/s) Time (s) 0 5 10 2 m/s2 12 20 1.7 m/s 2 20 30 1.5 m/s 2 30 40 1.3 m/s 2 42 50 1.2 m/s 2 56 60 1.07 m/s2 What is the average speed at 20 s? _________1.85 m/s2__(2+1.7/2)_______ What is the average speed at 30 s? ____1.73 m/s2_(2+1.7+1.5/3)_________ What is the acceleration between 20 and 30 s? ______1.4 m/s2_________ What is the average speed at 40 s? _________1.6 m/s2____________ What is the average speed at 60 s? ________1.5 m/s 2___________ What is the acceleration between 40 and 60 s? ___1.2 m/s2_________ Is the object accelerating at a constant rate? _____no__ V (speed)= D/T Final Velocity-Initial Velocity Time m/s 50 40 30 20 10 2 4 6 7 10 (secs) V (speed)= D/T ";<    ! 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