Mathematics (AS & A Level) · May / June 2021 · Paper 42 · Question 7

A particle P moving in a straight line starts from rest at a point O and comes to rest 16 s later. At time t s after leaving O, the acceleration a m s−2 of P is given by a = 6 + 4t 0 ≤t < 2, a = 14 2 ≤t < 4, a = 16 −2t 4 ≤t ≤16. There is no sudden change in velocity at any instant.

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