A particle P sets off from the origin, O, with a velocity of 9 m s 1

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A particle P sets off from the origin, O, with a velocity of 9 m s−1 and moves along the x-axis.

At time t seconds, its acceleration is given by a = (6t− 12) m s−2.

a. Find expressions for the velocity and displacement at time t.

b. Find the time when the particle returns to its starting point.

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