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3 marksDerivative as a Rate of Change (Kinematics and Related Rates)

CSEC Additional Mathematics · 2018 · Paper 2 · Question 8(a)(iii)

A particle moves in a straight line so that its distance, s metres, after t seconds, measured from a fixed point, O, is given by the function s = t^3 - 2t^2 + t - 1.

Determine the distance between the rest points.

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Other parts of this question

  1. 8(a)(i)Determine its velocity when t = 2.[2 marks]
  2. 8(a)(ii)Determine the values of t when the particle is at rest.[4 marks]
  3. 8(a)(iv)Determine the time at which the maximum velocity occurs.[3 marks]
  4. 8(b)(i)On the grid provided on page 27, draw a distance-time graph to illustrate the motion of the bus.[3 marks]
  5. 8(b)(ii)Determine the distance from Station B to Station C.[2 marks]
  6. 8(b)(iii)Determine the average speed from Station A to Station B, in km/h.[3 marks]

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