Past Year Perak

A particle moves along a straight line and passes through a fixed point O . It’s acceleration, a , is given by , where t is the time, in seconds, after passing through O . The initial velocity of the particle is 8 . Find [Assume motion to the right means positive velocity] 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.