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3.2.9 Projectiles (A-level only)

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Question 16

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

A ball, modelled as a particle, is projected from a point $O\,$ on horizontal ground with speed $U\,$ m s $^{-1}$ at an angle $\theta\,$ above the horizontal. Air resistance is modelled as negligible.

A vertical wall of height 6 m stands on the same horizontal ground, 20 m from $O$ , in the vertical plane of the ball's motion. The ball just passes over the top of the wall.

The ball lands on the ground 32 m from $O$ .

Figure for question 5

Show that the trajectory can be written as $y=Ax-Bx^2$ , where $A=tan⁡θA=\tan\theta$ and $B=4.9U2cos⁡2θB=\dfrac{4.9}{U^2\cos^2\theta}$ .

[3]

Hence find the value of $\theta\,$ and the value of $U$ .

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

Question 16

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

A vertical wall of height 6 m stands on the same horizontal ground, 20 m from $O$ , in the vertical plane of the ball's motion. The ball just passes over the top of the wall.

The ball lands on the ground 32 m from $O$ .

Figure for question 5

Show that the trajectory can be written as $y=Ax-Bx^2$ , where $A=tan⁡θA=\tan\theta$ and $B=4.9U2cos⁡2θB=\dfrac{4.9}{U^2\cos^2\theta}$ .

[3]

Hence find the value of $\theta\,$ and the value of $U$ .

[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.