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Exploring Position, Velocity, and Acceleration vs. Time Graphs

Author:Tuyetdong Phan-Yamada, Tom Walsh, Markus Hohenwarter
Adjust the Initial Position and the shape of the Velocity vs. Time graph by sliding the points up or down. Watch how the graphs of Position vs. Time and Acceleration vs. Time change as they adjust to match the motion shown on the Velocity vs. Time graph.

Part 1: What is the slope m of segment EF? Find the equation for segment EF. Select the correct answer.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Part 2: The x-int of segment EF is:

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Part 3: Find all values of t that function V(t) is positive.

Check my answer

Part 4. Find the antiderivative of the function in Part 1. Then find x that the function reaches the maximum value. Click on "Show" -Position vs Time to check your answer.

Part 5: Now check all the "Show" boxes. Move all points E, F, G, and H up and down. Observe the relationship between position, velocity and accelaration.

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