(i)[2]
Express $x$ and $y$ as functions of $t$.
(ii)[2]
Show that the trajectory equation for the ball is $y = x - \frac{1}{40}x^2$.
(iii)[1]
State the horizontal distance from $O$ to the point where the ball first strikes the ground.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A small ball is launched from point $O$ on level ground with speed $20\,\text{m s}^{-1}$ at an angle of $45^\circ$ above the horizontal. After time $t$ from projection, its horizontal displacement from $O$ is $x$ m and its upward vertical displacement from $O$ is $y$ m.