(i)[2]
Find the two values of $t$ for which $P$ is at instantaneous rest.
(ii)[3]
Find the distance covered by $P$ in the interval between these two times.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
Particle $P$ travels along a straight line, beginning at point $O$. For time $t$ after it has left $O$, the velocity of $P$, in $\text{m s}^{-1}$, is $v = 4t^2 - 8t + 3$.