An inspection trolley is modelled as moving along a straight rail with velocity v=(12−2t2) m s−1v=(12-2t^2)\text{ m s}^{-1}v=(12−2t2) m s−1 for t≥0t\geq0t≥0.
Find the distance travelled in the first second.
Find the time at which the particle changes direction.
Find the first time at which the particle returns to its starting point.