(i)[3]
Calculate the initial speed of the ball, and write $y$ in terms of $t$.
(ii)[2]
Hence find the equation for the trajectory of the ball.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A small ball is projected from point $O$ on level ground at an angle of $30^\circ$ above the horizontal. After $t$ s, the ball’s horizontal displacement from $O$ is $x$ m and its vertical displacement upwards is $y$ m respectively. It is given that $x = 40t$.