Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A small ball $B$ is launched from a point $1.5\text{ m}$ above horizontal ground with initial speed $29\text{ m s}^{-1}$ at an angle of $30^\circ$ above the horizontal.
(i)[2]

Show that $B$ reaches the ground $3\text{ s}$ after projection.

(ii)[4]

Determine the speed and direction of motion of $B$ immediately before it reaches the ground.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Vertical motion gives: $-1.5 = 29\sin30\,t - gt^2/2$

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