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You have 4 graphs to make, along with 4 pieces of graph paper…so each graph should be on a separate piece of graph paper. Distance vs Time Graphs Graph the following data and answer the questions at the bottom of the page. Remember an average is simply any amount of numbers added together and divided by the amount of numbers you added. SHOW WORK! Time (sec) Distance (m) 0 14 29 42 56 71 Explain the motion of the data from the graph. What is the speed of the object? What do you think a speed vs time graph would look like for this graph? Draw a small sketch below. Acceleration Calculations Acceleration means a change in speed and/or direction. It can also be defined as a change in velocity per unit time. Calculate the acceleration for the following data. Initial Velocity Final Velocity Time Acceleration 1. 0m/s 24 m/s 3 s _______________________________ 2. 0 m/s 35 m/s 5 s _______________________________ 3. 20 m/s 60 m/s 10 s _______________________________ 4. 50 m/s 150 m/s 5 s _______________________________ 5. 25 m/s 1200 m/s 3600 s _______________________________ A car accelerates from a standstill to 60 m/s in 10 seconds. What is the acceleration? Given: Equation: Plug in: Answer: 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? Given: Equation: Plug in: Answer: A runner achieves a velocity of 11.1 m/s, 9 sec after he begins. What is his acceleration? Given: Equation: Plug in: Answer: Graphing Velocity vs Time Plot the following data on the graph and answer the questions below. SHOW WORK IF APPLIES! Velocity (m/s) Time (sec) 0 0 10 2 20 4 30 6 40 8 50 10 1. As time increases, what happens to the speed? ________________________________ 2. What is the speed at 5 seconds? ______________________________ 3. Assuming the same trend continues, what would be the speed at 14 seconds? ________________________________________ 4. At what time would the object reach a speed of 45 m/s? ____________________ 5. What is the object’s acceleration? ____________________ 6. What would the shape of the graph be if a speed of 50 m/s is maintained from 10s to 20 s? Graphing Distance vs. Time and Speed vs. Time Plot the following data on the graph and answer the following questions below. SHOW WORK IF APPLIES! Time (s)________________Distance (m)__________Speed (m/s) 0 0 10 5 20 12 30 20 40 30 50 42 60 56 Calculate the speed above. What type of motion is described on this graph? Graph the Speed vs. Time Does your graph for Speed vs Time match your Distance vs. Time graph? How do you know? 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