The velocity v m s 1 , of a particle P at time t seconds is given

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The velocity v m s−1, of a particle P at time t seconds is given by v = t3 − 4t2 + 4t + 2.

P moves in a straight line.

a. Find an expression for the acceleration, a m s−2, in terms of t.

b. Find the times at which the acceleration is zero, and say what is happening between these times.

c. Find the distance travelled in the first three seconds.

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