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

Question

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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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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