A ball is kicked from a point O O\,O on level horizontal ground with velocity U ms−1U \text{ ms}^{-1}U ms−1 at an angle θ \theta\,θ to the horizontal. At horizontal distance x x\,x from OOO, the height of the ball is yyy.
Show that the equation of the path of the ball is
y=xtanθ−gx22U2cos2θ y = x \tan \theta - \frac{g x^2}{2 U^2 \cos^2 \theta} y=xtanθ−2U2cos2θgx2Given that θ=60∘\theta = 60^\circθ=60∘ and that when x=10x = 10x=10, y=4y = 4y=4, find the speed of the ball at the point where x=10x = 10x=10 and y=4y = 4y=4.
Practise Edexcel A Level Maths Projectile Motion Formulae with exam-style questions for A Level Maths. 11 questions, 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.
