(i)[2]
At time $T$ s after leaving $O$, the particle attains its greatest velocity. Find $T$.
(ii)[6]
Find the velocity of the particle when its acceleration is greatest (there is no need to show that this point is a maximum rather than a minimum).
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle travels along a straight line from point $O$ with initial velocity $1\ \text{m s}^{-1}$. Its acceleration $a\ \text{m s}^{-2}$ at time $t$ s after leaving $O$ is given by $a = 1.2t^2 - 0.6t$.