(a)[3]
Sketch the velocity-time graph over $0 \leq t \leq 13.5$.
(b)[2]
Find the acceleration at the moment when $t = 6$.
(c)[5]
Find the total distance covered by $P$ over the interval $0 \leq t \leq 13.5$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $P$ moves along a straight line. The velocity $v\,\text{m s}^{-1}$ at time $t\,\text{s}$ is given by: $v = 2t + 1$ for $0 \leq t \leq 5$, $v = 36 - t^2$ for $5 \leq t \leq 7$, $v = 2t - 27$ for $7 \leq t \leq 13.5$.