A particle has velocity v=(12−2t2) m s−1v=(12-2t^2)\text{ m s}^{-1}v=(12−2t2) m s−1 at time t t\,t seconds, where t≥0t\geq0t≥0. At t=0t=0t=0 the particle is at OOO.
Find the distance travelled in the first second.
Find the time at which the particle changes direction.
Find the next time at which the particle returns to OOO.