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 $t$ s from projection, its horizontal displacement from $O$ is $x$ m and its vertically upward displacement is $y$ m.
(i)[4]
Express $x$ and $y$ in terms of $t$, and hence find the equation for the path.
(ii)[2]
The object passes through the point with coordinates $(24, \; 18)$. Find $V$.
(iii)[3]
The object passes through two points that are $22.5\,\text{m}$ above the level of $O$. Find the values of $x$ for these points.
(c(iii))[3]
The object goes through two points that lie $22.5\,\text{m}$ above the level of $O$. Find the corresponding values of $x$.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Horizontal component $x = (V\cos 45)t” …