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5 marksApplications of Integration

CSEC Additional Mathematics · 2015 · Paper 2 · Question 8(b)(ii)

A particle moves in a straight line. Its acceleration, a, is given by a = (3t - 1) m s^-2. Its velocity, v, is 4 m s^-1 when t = 2, and its displacement, s, from O is 6 metres when t = 2.

Find the displacement of the particle from O when t = 3.

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Other parts of this question

  1. 8(a)(i)On the answer graph sheet, provided as an insert, draw a velocity-time graph to represent the motion of the particle.[3 marks]
  2. 8(a)(ii)Calculate the acceleration of the particle.[3 marks]
  3. 8(a)(iii)Determine the increase in displacement over the interval t = 0 to t = 4.[4 marks]
  4. 8(b)(i)Find the velocity when t = 4.[5 marks]

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