Physics 9702 · AS & A Level · Equations of motion

Equations of motion — practice question

A ball is projected towards a vertical wall. The ball’s trajectory is illustrated in Fig. 3.1. It is launched from S with an initial velocity of $15.0\,\text{m s}^{-1}$ at $60.0^\circ$ to the horizontal. Assume that air resistance is negligible.
(a(i))[1]

Calculate the horizontal component of velocity for the ball at S.

(a(ii))[1]

Calculate the vertical component of velocity for the ball at S.

(b(i))[1]

The wall is $9.95\,\text{m}$ from S. The ball reaches the wall at P with a velocity at right angles to the wall. It then rebounds to F, which is $6.15\,\text{m}$ from the wall. Using your answers in (a), calculate the vertical height gained by the ball from S to P.

(b(ii))[1]

Show that the time taken for the ball to travel from S to P is $1.33\,\text{s}$.

(b(iii))[1]

Show that the ball's velocity immediately after rebounding from the wall is about $4.6\,\text{m s}^{-1}$.

(c(i))[2]

The ball has mass $60 \times 10^{-3}\,\text{kg}$. Calculate the change in momentum of the ball as it rebounds from the wall.

(c(ii))[1]

State, with explanation, whether the collision is elastic or inelastic.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Horizontal component, $v_x = 15\cos60^{\circ} = 7.5\,\text{m s}^{-1}$

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