Physics 9702 · AS & A Level · Momentum and Newton's laws of motion

Momentum and Newton's laws of motion — practice question

A ball is launched straight downward toward the ground with an initial speed of $4.23\,\text{m s}^{-1}$. It travels for $1.51\,\text{s}$ before reaching the ground. Ignore air resistance.
(a(i))[2]

Show that the ball's downward speed on impact is $19.0\,\text{m s}^{-1}$.

(a(ii))[2]

Calculate, to three significant figures, how far the ball falls before it reaches the ground.

(b(i))[4]

The ball is in contact with the ground for $12.5\,\text{ms}$ and then rebounds with an upward speed of $18.6\,\text{m s}^{-1}$. The ball has a mass of $46.5\,\text{g}$. Calculate the average force on the ball during impact with the ground. State both the size and the direction of the force.

(b(ii))[2]

Use conservation of energy to find the greatest height the ball attains after striking the ground.

(c)[1]

State and explain whether the collision of the ball with the ground is elastic or inelastic.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use of equation $v=u+at$

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