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

Kinematics of motion in a straight line — practice question

Ball $A$ is let go from rest at the top of a tall tower. After $1$ second, ball $B$ is projected vertically upwards from ground level close to the base of the tower at a speed of $20\,\text{m s}^{-1}$. The balls are at the same height $1.5\,\text{s}$ after ball $B$ is projected.
(i)[3]

Show that the tower has height $50\,\text{m}$.

(ii)[5]

Find the time for which ball $B$ has been moving by the moment ball $A$ reaches the ground. Hence find the total distance covered by ball $B$ by the time ball $A$ reaches the ground.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate application of $s_A = \tfrac12 g \times 2.5^2$

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