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. Its velocity $v\,\text{m s}^{-1}$ at time $t\,\text{s}$ is defined by $v = 4 + 0.2t$ for $0 \le t \le 10$, and by $v = -2 + \frac{800}{t^2}$ for $10 \le t \le 20$.
(i)[1]
Find the acceleration of $P$ during the first $10\,\text{s}$.
(ii)[2]
Find the acceleration of $P$ at $t = 20$.
(iii)[3]
Sketch the velocity-time graph over $0 \le t \le 20$.
(iv)[5]
Find the total distance travelled by $P$ over the interval $0 \leq t \leq 20$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate value $0.2\,\text{m s}^{-2}$” …