(i)[5]
Determine the velocity and the displacement from $O$ of $P$ at $t = 10$.
(ii)[7]
For times after $t = 10$, $P$ experiences acceleration $-0.4t\,\mathrm{m\,s^{-2}}$ until it stops at point $A$. Determine the distance $OA$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $P$ begins at rest at point $O$ and travels along a straight path. For time $t$ seconds after leaving $O$, $P$ has acceleration $0.6t\,\mathrm{m\,s^{-2}}$ until $t = 10$.