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Past Year Perak

A particle moves along a straight line and passes through a fixed point O . It’s acceleration, a m s−2 , is given by a=2t−6 , where t is the time, in seconds, after passing through O . The initial velocity of the particle is 8 m s−1 . Find [Assume motion

a) the minimum velocity of the particle in ms-1

b)the value k if the particle always moves to the right after k seconds

c)the total distance, in m , travelled by the particle in the first 4 seconds.