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Problem 16.9: Which graph properly shows the position/velocity/acceleration?

Please wait for the animation to completely load.

A ball on a string oscillates as shown in the animation (position is given in meters and time is given in seconds). Restart.

  1. Determine which graph properly shows the position of the ball in the x direction as a function of time.
  2. Determine which graph properly shows the velocity of the ball in the x direction as a function of time.
  3. Determine which graph properly shows the acceleration of the ball in the x direction as a function of time.

Take data from the graph and answer the following:

  1. Write down the equation for x(t).
  2. Write down the equation for v(t).
  3. Write down the equation for a(t).
  4. Write down the equation for v(x).
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