Two stones, S1 S_1\,S1 and S2S_2S2, are thrown simultaneously from points C C\,C and D D\,D which are 80 m apart on horizontal ground. Stone S1 S_1\,S1 is thrown from C C\,C with speed 20 ms-1 at an angle of 60∘ 60^\circ\,60∘ to the horizontal. Stone S2 S_2\,S2 is thrown from D D\,D with speed U ms−1U \text{ ms}^{-1}U ms−1 at an angle of θ \theta\,θ to the horizontal. The stones collide 2 seconds after being thrown. Gravity is the only force acting on the stones once they are in the air.
Find the velocity of S1 S_1\,S1 the instant before it collides with S2S_2S2.
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 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.