(i)[3]
Find the values of $t$ when the acceleration of $P$ is $54\,\text{m s}^{-2}$.
(ii)[3]
Find an expression for the displacement of $P$ from $O$ after $t$ s.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $P$ travels along a straight line from point $O$. After $t$ s has elapsed since it left $O$, its velocity, $v\,\text{m s}^{-1}$, is given by $v = (2t - 5)^3$.