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Determine $V$ and then determine the overall time for the ball to travel from $A$ to the ground and then rebound to $B$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A small ball is thrown straight downwards from point $A$, which is $7.2\text{ m}$ above level ground, with initial speed $5\text{ m s}^{-1}$. It strikes the ground at speed $V\text{ m s}^{-1}$ and then bounces straight up with speed $\frac{1}{2}V\text{ m s}^{-1}$. After the bounce, the ball rises to its greatest height at $B$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply of $v^2 = u^2 + 2as$, for example $v^2 = 5^2 + 2g\times7.2$” …
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