The velocity of a particle moving in a straight line after t t\,t seconds is given by v=(6t−2t2)v = (6t - 2t^2)v=(6t−2t2) m s−1^{-1}−1.
When t=0t = 0t=0 the particle is at the point O O\,O on the line.
Find the distance of the particle from O O\,O at the instant it next comes to instantaneous rest.