(i)[1]
State the value of $k$.
(ii)[2]
Show that the ball’s initial speed is $28\,\text{m s}^{-1}$.
(iii)[2]
Find the horizontal displacement of the ball from $O$ when $t = 3$.
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 an angle of $30^\circ$ above the horizontal. After $t$ s from projection, the ball’s vertical displacement upward from $O$ is $(14t - kt^2)$ m, where $k$ is a constant.