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3.2.5 Motion under gravity and projectiles (A-level only)

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Question 2

A ball $S\,$ is thrown from a point $O\,$ with initial speed $\text{ ms}^{-1}$ at an angle of elevation $θ\theta$ . After traveling a horizontal distance $x$ , its height above the level of $O\,$ is $y$ .

Show that

\tan \theta - \frac{g x^2}{2 V^2 \cos^2 \theta}

[4]

Given that $θ=45∘\theta = 45^\circ$ and that when $x = 10$ , $y = 2$ , find the speed of $S\,$ at the point where $x = 10$ and $y = 2$ .

[6]

Markscheme

3.2.5 Motion under gravity and projectiles (A-level only) Questions

A Level
Maths
3.2.5 Motion under gravity and projectiles (A-level only)

91 exam-style questions on AQA A Level Maths 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.2.5 Motion under gravity and projectiles (A-level only)

Question bank

3.2.5 Motion under gravity and projectiles (A-level only)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Question 2

Show that

\tan \theta - \frac{g x^2}{2 V^2 \cos^2 \theta}

[4]

Given that $θ=45∘\theta = 45^\circ$ and that when $x = 10$ , $y = 2$ , find the speed of $S\,$ at the point where $x = 10$ and $y = 2$ .

[6]

Markscheme

3.2.5 Motion under gravity and projectiles (A-level only) Questions

A Level
Maths
3.2.5 Motion under gravity and projectiles (A-level only)

91 exam-style questions on AQA A Level Maths 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.