Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

A small ball with mass $0.4\text{ kg}$ is let go from rest from a point $5\text{ m}$ above the horizontal ground. The moment the ball reaches the ground, $12.8\text{ J}$ of kinetic energy is lost and it then begins to rise.
(i)[4]

Show that the largest height above the ground reached by the ball after it strikes the ground is $1.8\text{ m}$.

(ii)[3]

Determine the time for the ball’s motion from release up to this greatest height.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Calculate decrease in PE as $0.4g \times 5 = 20\,\text{J}$

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