(a)[5]
Draw a velocity-time graph for $0 \leq t \leq 12$, showing the times at which $P$ is momentarily at rest.
(b)[5]
Determine the total distance travelled by $P$ over the interval $0 \leq t \leq 12$.
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 the $x$-axis starting from the origin $O$ with initial velocity $-20\,\text{m s}^{-1}$. Its acceleration $a\,\text{m s}^{-2}$ at time $t$ after leaving $O$ is given by $a = 12 - 2t$.