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3.2.9 Projectiles (A-level only)

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Question 17

In this question use $g = 9.8$ m s $^{-2}$ .

A particle $P\,$ is projected from a point $O\,$ with speed $U\,$ m s $^{-1}$ at an angle $\theta\,$ above the horizontal. Air resistance is modelled as negligible. When $P\,$ has moved a horizontal distance $x\,$ metres, its height above $O\,$ is $y\,$ metres.

By writing down expressions for $x\,$ and for $y\,$ in terms of the time $t$ , and eliminating $t$ , show that $x\tan\theta - \dfrac{gx^2}{2U^2\cos^2\theta}$ .

[4]

It is given that $θ=45°\theta = 45°$ , and that $y = 2$ when $x = 6$ . Find the speed of $P\,$ at the point where $x = 6$ and $y = 2$ .

[5]

Markscheme

3.2.9 Projectiles (A-level only) Questions

A Level
Maths
3.2.9 Projectiles (A-level only)

91 exam-style questions on OCR A Level Maths 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.2.9 Projectiles (A-level only)

Question bank

3.2.9 Projectiles (A-level only)

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Question 17

In this question use $g = 9.8$ m s $^{-2}$ .

By writing down expressions for $x\,$ and for $y\,$ in terms of the time $t$ , and eliminating $t$ , show that $x\tan\theta - \dfrac{gx^2}{2U^2\cos^2\theta}$ .

[4]

It is given that $θ=45°\theta = 45°$ , and that $y = 2$ when $x = 6$ . Find the speed of $P\,$ at the point where $x = 6$ and $y = 2$ .

[5]

Markscheme

3.2.9 Projectiles (A-level only) Questions

A Level
Maths
3.2.9 Projectiles (A-level only)

91 exam-style questions on OCR A Level Maths 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.