(i)[4]
Find the length of $OA$.
(ii)[3]
Find the maximum velocity of $P$ as it travels from $O$ to $A$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $P$ moves from point $O$ in a straight line and reaches instantaneous rest at point $A$. The velocity of $P$ after time $t$ since leaving $O$ is $v\,\text{m s}^{-1}$, where $v = 0.027(10t^2 - t^3)$.