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Question 83

A particle P P\,P is projected from a point O O\,O with velocity Ums−1U\text{ms}^{-1}Ums−1 at an angle of θ∘ \theta^\circ\,θ∘ to the horizontal. When P P\,P has moved a horizontal distance xxx, it's height above O O\,O is yyy.

a.

Show that

y=xtan⁡θ−gx22U2cos⁡2θ y = x \tan \theta - \frac{g x^2}{2U^2 \cos^2 \theta} y=xtanθ−2U2cos2θgx2​
[4]
b.

Given that θ=45∘\theta = 45^\circθ=45∘ and that when x=8x = 8x=8, y=6y = 6y=6, find the speed of P P\,P at the point where x=8x = 8x=8 and y=6y = 6y=6.

[6]
Markscheme

Projectiles Questions

  1. A Level
  2. /Maths
  3. /Projectiles

230 exam-style questions on Edexcel A Level Maths Projectiles, covering 6.1 Horizontal Projection, 6.2 Horizontal and Vertical Components, 6.3 Projection at Any Angle, and 6.4 Projectile Motion Formulae. Each one has a worked solution and a mark scheme showing where the marks go.

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