The points A A\,A and B B\,B lie 120 m apart on horizontal ground. At time t=0t = 0t=0 two projectiles, P P\,P and QQQ, are launched from the points A A\,A and BBB. Projectile P P\,P is launched with speed 40 ms-1 at an angle of 30∘ 30^\circ\,30∘ to the horizontal. Projectile Q Q\,Q is launched with speed U ms−1U \text{ ms}^{-1}U ms−1 at an angle of θ \theta\,θ to the horizontal. At time t=3t = 3t=3, P P\,P and Q Q\,Q collide. Both projectiles are modelled as particles moving freely under gravity.
Find the velocity of P P\,P the instant before it collides with QQQ.
Find the size of angle θ\thetaθ.
Find the value of UUU.
State one limitation of the model that could affect the accuracy of your answers.
Practise Edexcel A Level Maths Projection at Any Angle with exam-style questions for A Level Maths. 62 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.
