Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
The diagram gives the velocity-time graph for a particle moving in a straight line. The graph is made up of $5$ straight line sections. The particle begins from rest at point $A$ when $t = 0$, and at first moves towards point $B$ on the line.
(i)[1]
Show that the particle's acceleration from $t = 3.5\,\text{s}$ to $t = 6\,\text{s}$ is $-10\,\text{m s}^{-2}$.
(ii)[2]
The particle's acceleration between $t = 6\,\text{s}$ and $t = 10\,\text{s}$ is $7.5\,\text{m s}^{-2}$. At $t = 10$, the particle has velocity $V\,\text{m s}^{-1}$. Determine $V$.
(iii)[4]
The particle is at rest at $B$ at time $T\,\text{s}$. Since the total distance covered by the particle from $t = 0$ to $t = T$ is $100\,\text{m}$, determine $T$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Find acceleration using gradient: $\tfrac{-25}{2.5} = -10\,\text{m s}^{-2}$” …