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Question 3

A particle moves along a straight line from a fixed point O for t seconds with an initial velocity of 8ms-1. The acceleration, a ms-2, of the particle t seconds after leaving O is given by . Calculate [Assume motion to the right is positive]

(a) the velocity, in ms-1, of the particle when t=2,

(b) the displacement, in m, of the particle from O when t=5.