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A particle moves in a straight line. It passes through point O at t=0 with velocity v=5m/s. the acceleration a m/#s^2# of the particle at time t seconds after passing through O is given by a=6t+4. (a) Express the velocity v of the particle at time t seconds in terms of t.
(b) Calculate: (i) the velocity of the particle when t=3 (ii)the distance covered by the particle between t=2 and t=4