The velocity of a particle at time t t\,t seconds is v=(6t−2t2) m s−1v=(6t-2t^2)\text{ m s}^{-1}v=(6t−2t2) m s−1 for 0≤t≤30\leq t\leq30≤t≤3.
Sketch the velocity-time graph, marking the intercepts and the maximum point.