(i)[3]
Determine the minimum velocity of $P$.
(ii)[7]
Determine the total distance travelled by $P$ over $0 \leq t \leq 8$.
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 starting from a fixed point $O$. Its velocity $v\,\text{m s}^{-1}$ at time $t\,\text{s}$ is defined by $v = t^2 - 8t + 12$ for $0 \leq t \leq 8$.