Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A particle is launched from point $O$ on level ground. Its initial velocity has components of $10\,\text{m s}^{-1}$ horizontally and $15\,\text{m s}^{-1}$ vertically upwards. After time $t$ from projection, the horizontal displacement from $O$ is $x\,\text{m}$ and the vertically upwards displacement from $O$ is $y\,\text{m}$.
(i)[4]
Express $x$ and $y$ in terms of $t$, and hence find the equation that describes the particle’s trajectory.
(ii)[2]
Show that $d$ is smaller than $30$.
(iii)[2]
Find the value of $x$ when the particle is $14\,\text{m}$ beneath the level of $O$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme.