(i)[4]
Show that $t^{\frac{4}{3}} = \frac{5}{6}$ when $P$ has velocity $3\,\text{m s}^{-1}$.
(ii)[3]
Determine the distance of $P$ from $O$ when the velocity of $P$ is $3\,\text{m s}^{-1}$.
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, beginning at $O$ with velocity $2\,\text{m s}^{-1}$. The acceleration of $P$ at time $t\,\text{s}$ after leaving $O$ is $2t^{\frac{2}{3}}\,\text{m s}^{-2}$.