Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A small object is launched from point $O$ with speed $V\,\text{m s}^{-1}$ at an angle of $45^\circ$ above the horizontal. After $t\,\text{s}$ have elapsed since projection, its horizontal displacement from $O$ is $x\,\text{m}$ and its vertical displacement upwards from $O$ is $y\,\text{m}$.
(i)[4]
Write $x$ and $y$ as functions of $t$, and then deduce the equation of the trajectory.
(ii)[2]
The object goes through the point with coordinates $(24, 18)$. Determine $V$.
(iii)[3]
The object passes through two points that are $22.5\,\text{m}$ above the level of $O$. Determine the corresponding values of $x$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies horizontal motion $x = (V\cos45)t$” …