A projectile is launched from the origin O O\,O with an initial velocity W ms−1W \text{ ms}^{-1}W ms−1 at an angle β \beta\,β above the horizontal. Its position (x,y)(x, y)(x,y) is measured from OOO.
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y=xtanβ−gx22W2cos2β y = x \tan \beta - \frac{g x^2}{2 W^2 \cos^2 \beta} y=xtanβ−2W2cos2βgx2Given that β=60∘\beta = 60^\circβ=60∘ and that when x=15x = 15x=15, y=5y = 5y=5, find the speed of the projectile at the point where x=15x = 15x=15 and y=5y = 5y=5.
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.