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

CSEC Additional Mathematics · 2019 · Paper 2 · Question 8(b)(i)

A particle moves in a straight line such that t seconds after passing a fixed point, O, its acceleration, a, in ms⁻², is given by a = 12t - 17. Given that its speed at O is 10 ms⁻¹.

Determine the values of t for which the particle is stationary.

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Other parts of this question

  1. 8(a)(i)On the grid provided on page 25, draw a speed-time graph showing the information above.[3 marks]
  2. 8(a)(ii)Calculate the distance the car travelled between the two traffic lights.[3 marks]
  3. 8(a)(iii)Calculate the average speed of the car over this journey, giving your answer in kmh⁻¹.[3 marks]
  4. 8(b)(ii)Determine the distance the particle travels in the fourth second.[6 marks]

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