A particle P is projected from the origin O so that it moves in a straight line.

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A particle P is projected from the origin O so that it moves in a straight line. At time t seconds after projection, the velocity of the particle, v ms-1, is given by v = 2t2 – 14t + 12.

i. Find the time at which P first comes to instantaneous rest.

ii. Find an expression for the displacement of P from O at time t seconds.

iii. Find the acceleration of P when t = 3.

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