Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The path of a small ball $B$ launched from a fixed point $O$ is given by $y = -0.05x^2$, where $x$ and $y$ represent the horizontal and vertically upwards displacements of $B$ from $O$, in metres, respectively.
(i)[3]

Show that $B$ is projected horizontally, and find the speed at which it is projected.

(ii)[6]

Find the value of $y$ when the direction of motion of $B$ is $60^\circ$ below the horizontal, and find the speed of $B$ at that point.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $x\tan\alpha=0$, hence $\alpha=0$

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