Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A particle $P$ is launched from a point $O$ with speed $V\ \mathrm{m\,s^{-1}}$. After $t$ s, its horizontal displacement from $O$ is $x$ m and its vertically upward displacement is $y$ m. The trajectory equation for $P$ is $y = 2x - \frac{25x^2}{V^2}$.
(i)[1]
State the value of $\tan\theta$, where $\theta$ denotes the angle of projection of $P$.
(ii)[5]
At $t = 4$, $P$ passes through $A$, where $x = y = a$. Find $V$ and $a$.
(iii)[3]
Determine the direction of motion of $P$ as it passes through $A$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Finds $\tan\theta = 2$” …