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.
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y=xtanθ−gx22U2cos2θ y = x \tan \theta - \frac{g x^2}{2 U^2 \cos^2 \theta} y=xtanθ−2U2cos2θgx2Given that θ=45∘\theta = 45^\circθ=45∘ and that when x=6x = 6x=6, y=2y = 2y=2, find the speed of P P\,P at the point where x=6x = 6x=6 and y=2y = 2y=2.
Practise Edexcel A Level Maths Projectiles with exam-style questions for A Level Maths. 73 questions covering Horizontal Projection, Horizontal and Vertical Components, Projection at Any Angle, and Projectile Motion Formulae, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.