Mathematics (AS & A Level) · May / June 2022 · Paper 43 · Question 7

A particle P moves in a straight line through a point O. The velocity vms−1 of P, at time t s after passing O, is given by v = 9 4 + b t + 1 2 −ct2, where b and c are positive constants. At t = 5, the velocity of P is zero and its acceleration is −13 12 ms−2.

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