(i)[4]
Write $x$ and $y$ as functions of $t$ and therefore determine the equation of the ball’s trajectory.
(ii)[4]
Determine $x$ for the ball’s position when its path is at an angle of $15^\circ$ below the horizontal.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A small ball is launched with speed $25\,\text{m s}^{-1}$ at an angle of $30^\circ$ above the horizontal from a point $O$ on level ground. After $t\,\text{s}$ from launch, its horizontal displacement from $O$ is $x\,\text{m}$ and its vertical displacement upwards from $O$ is $y\,\text{m}$.