Velocity and Acceleration: Quiz

Problem 4

A point moves along the x axis so that its position x at time t is specified by the function

x(t) = sin(2πt)

During what time intervals is the point speeding up?

  1. (0, 0.5)
  2. (0.25, 0.5)
  3. (0.5, 1)
  4. (0.75, 1)

Answers, problem 4

Looking at the above graph of sin(2πt), the intervals during which the point is speeding up are:

  1. (0.25, 0.5) when moving in the negative direction
  2. (0.75, 1) when moving in the positive direction

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