(i)[2]
Determine the greatest height reached by the stone.
(ii)[2]
Determine the distance from $O$ to the point where the stone lands.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
From a point $O$ on horizontal ground, a stone is projected. Its trajectory is described by $y = 1.2x - 0.15x^2$, where $x\,\text{m}$ and $y\,\text{m}$ represent respectively the stone's horizontal displacement from $O$ and its upward vertical displacement from $O$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The trajectory is differentiated and $\dfrac{dy}{dx} = 1.2 - 2(0.15)x = 0$ is solved” …
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