Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The trajectory equation for a small ball $B$, launched from a fixed point $O$, is $y = -0.05x^2$, where $x$ and $y$ are the horizontal and vertically upward displacements, in metres, of $B$ from $O$, respectively.
(i)[3]

Show that $B$ is projected horizontally, and determine its speed of projection.

(ii)[6]

Find the value of $y$ when the direction of motion of $B$ is $60^\circ$ below the horizontal, and determine the corresponding speed of $B$.

Worked solution & mark scheme

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

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