(i)[2]
Find the equation describing the trajectory of the ball.
(ii)[4]
Hence or otherwise Calculate the angle at which the ball is projected and its initial speed.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A small ball is launched from a point $O$ on level ground. At time $t\,\text{s}$ after launch, its horizontal displacement from $O$ is $x\,\text{m}$ and its vertical displacement upwards from $O$ is $y\,\text{m}$, where $x = 4t$ and $y = 6t - 5t^2$.