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9709 P43 - Nov 2015 - Q6
3755

A particle P starts from rest at a point O of a straight line and moves along the line. The displacement of the particle at time t s after leaving O is x m, where

\(x = 0.08t^2 - 0.0002t^3\).

  1. Find the value of t when P returns to O and find the speed of P as it passes through O on its return.
  2. For the motion of P until the instant it returns to O, find
    1. the total distance travelled,
    2. the average speed.
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