Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle travels in a straight line with velocity $v\,\text{m s}^{-1}$ at time $t$ seconds. The diagram presents a velocity-time graph that represents the particle’s motion from $t = 0$ up to $t = T$. It is made up of four straight line segments. The particle attains its greatest velocity $V\,\text{m s}^{-1}$ at $t = 10$.
(i)[1]
Find the particle’s acceleration during the first $2$ seconds.
(ii)[2]
Find $V$.
(iii)[4]
At $t = 6$, the particle is momentarily at rest at point $A$. At $t = T$, the particle is brought to rest at point $B$. At $t = 0$ the particle begins from rest at a point one third of the way from $A$ to $B$. Find the distance $AB$ and then determine the value of $T$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Acceleration is $-1\,\text{m s}^{-2}$” …