Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
The point $O$ lies $1.2\text{ m}$ below the rough horizontal ground $ABC$. A ball is projected from $O$ with speed $25\text{ m s}^{-1}$ at an angle of $70^\circ$ to the horizontal. After it has moved $2\text{ m}$ horizontally, the ball passes over point $A$. It then makes one bounce on the ground at $B$. The ball leaves $B$ at speed $15\text{ m s}^{-1}$ and goes a further $20\text{ m}$ horizontally before landing at $C$.
(i)[3]
Calculate the height above the level of $O$ of the ball when it is vertically above $A$.
(ii)[3]
Calculate the time after projection when the ball reaches $B$.
(iii)[2]
Find the angle made by the ball’s trajectory with the horizontal immediately after it bounces at $B$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Finds the time using horizontal motion, $t=2/(25\cos70)$” …