3 marksIntegration as Reverse of Differentiation (Anti-derivatives)

CSEC Additional Mathematics · 2016 · Paper 2 · Question 8(b)(i)

A particle starting from rest travels in a straight line with acceleration, a, given by a = cos t where t is the time in seconds.

Find the velocity of the particle in terms of t.

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Other parts of this question

8(a)(i)On the following grid, draw a displacement-time graph to display this information.[5 marks]
8(a)(ii)Calculate the average speed for the whole journey.[3 marks]
8(a)(iii)Calculate the average velocity of the whole journey.[3 marks]
8(b)(ii)Calculate the displacement of the particle in the interval of time t = π to t = 2π.[6 marks]

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