A ball is projected from A towards B, as illustrated in Fig. 2.1. It leaves A with initial velocity $V$ at $60^\circ$ to the horizontal. Fig. 2.2 shows how the vertical component $V_v$ of the ball’s velocity varies with time $t$ from $t = 0$ to $t = 0.60\,\text{s}$. Air resistance may be ignored.
(a(i))[2]
Complete Fig. 2.2 so that it shows the motion up to the time when the ball reaches B.
(a(ii))[2]
Calculate the greatest height attained by the ball.
(a(iii))[2]
Calculate the horizontal component $V_h$ of the ball’s velocity at the start, $t = 0$.
(a(iv))[1]
On Fig. 2.2, sketch how $V_h$ varies with $t$. Label the sketch $V_h$.
(b(i))[3]
The ball has mass $0.65\,\text{kg}$. Calculate the maximum kinetic energy of the ball.
(b(ii))[2]
Calculate the maximum potential energy above ground.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A straight-line segment from $t = 0.60\,\text{s}$ to $t = 1.2\,\text{s}$, with $|V_v| = 5.9$ at $t = 1.2\,\text{s}$” …