A particle P starts from rest at a point O and travels in a straight line. The

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A particle P starts from rest at a point O and travels in a straight line. The acceleration of P is (15 - 6x) ms-2 where xm is the displacement of P from O.

i. Find the value of x for which P reaches its maximum velocity, and calculate this maximum velocity.

ii. Calculate the acceleration of P when it is at instantaneous rest and x > 0.

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