Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A small ball $B$ is launched from a point $O$ on horizontal ground with speed $12\,\text{m s}^{-1}$ at an angle of $30^\circ$ above the horizontal. After $0.8\,\text{s}$, $B$ is $0.5\,\text{m}$ vertically above the top of a vertical post.
(i)[3]

Calculate how high the top of the post is above the ground.

(ii)[2]

Show that $B$ is at its greatest height $0.2\,\text{s}$ before it passes over the post.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $s=(12\sin30)\times0.8-\frac12 g(0.8)^2$ to find the vertical height of the object at the post's position

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