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5 marksApplications of Integration

CSEC Additional Mathematics · 2012 · Paper 2 · Question 8(b)(ii)

A particle moves in a straight line with acceleration a = (5t - 1) ms⁻² at any time t seconds. When t = 2 seconds, the particle has velocity 4 ms⁻¹ and is 8 m from a fixed point O.

Determine its displacement from O when t = 3.

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Other parts of this question

  1. 8(a)(i)Using the graph sheet provided, draw a velocity-time graph to illustrate the motion of the car.[3 marks]
  2. 8(a)(ii)Determine the TOTAL distance travelled by the car.[3 marks]
  3. 8(a)(iii)Calculate the length of time after the first car started that this second car meets it.[4 marks]
  4. 8(b)(i)Determine its velocity when t = 4.[5 marks]

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