Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A small ball $B$ is launched from a point $O$ above horizontal ground, with initial speed $15\,\text{m s}^{-1}$ at an angle of projection of $30^\circ$ above the horizontal (see diagram). The ball hits the ground $3\,\text{s}$ after projection.
(i)[5]

Calculate the speed and direction of the ball's motion immediately before it strikes the ground.

(ii)[2]

Find the height of $O$ above the ground.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Horizontal component $x' = 15\cos30$ and vertical component $y' = 15\sin30 - 3g$ (or the signs reversed)

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