The accerleration of a particle is defined by the relation a = A - 6t^2, where A is constant. At t = 0, the particle starts at x = 8m with v = 0. KNowing that at t = 1 s, v = 30 m/s , determine (a) the times at which the velocity is zero, (b) the total distance traveled by the particle when t = 5s.