(i)[4]
Express $x$ and $y$ in terms of $t$ and hence find the equation of the trajectory of the ball.
(ii)[3]
Find the value of $x$ for which $OB$ makes an angle of $45^\circ$ above the horizontal.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A small ball $B$ is projected from point $O$ with speed $30\,\text{m s}^{-1}$ at an angle of $60^\circ$ above the horizontal. After $t\,\text{s}$ from projection, the horizontal displacement of $B$ from $O$ is $x\,\text{m}$ and its vertically upward displacement is $y\,\text{m}$.