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3 marksStationary Points (Maxima/Minima)

CSEC Additional Mathematics · 2017 · Paper 2 · Question 8(a)(ii)

The displacement, s, of a particle from a fixed point, O, is given by s = t³ - (5/2)t² - 2t metres at time, t seconds.

If the particle is momentarily at rest, find the time, t, at this position.

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Other parts of this question

  1. 8(a)(i)Determine the velocity of the particle at t = 3.5 s, clearly stating the correct unit.[3 marks]
  2. 8(b)(i)In the space below, sketch a velocity-time graph to illustrate the motion of the vehicle.[3 marks]
  3. 8(b)(ii)Calculate the length of time the vehicle maintains constant speed.[7 marks]
  4. 8(b)(iii)Calculate the maximum velocity attained.[2 marks]
  5. 8(b)(iv)Determine the acceleration of the vehicle.[2 marks]

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