A particle P starts from rest at a fixed origin O when t = 0. The acceleration

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A particle P starts from rest at a fixed origin O when t = 0. The acceleration a m s−2 at time t seconds is given by a = 6t − 6.

a. Find the velocity of the particle after 1 second.

b. Find the time after leaving the origin when the particle is next instantaneously at rest, and the distance travelled to this point.

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