The points X X\,X and Y Y\,Y lie 100 m apart on horizontal ground. At time t=0t = 0t=0 two balls, M M\,M and NNN, are projected from X X\,X and Y Y\,Y respectively. Ball M M\,M is projected with speed 30 ms-1 at an angle of 45∘ 45^\circ\,45∘ to the horizontal. Ball N N\,N is projected with speed U ms−1U \text{ ms}^{-1}U ms−1 at an angle of ϕ \phi\,ϕ to the horizontal. At time t=2.5t = 2.5t=2.5, the balls collide in mid-air. Both balls are assumed to be particles in free flight.
Find the velocity of M M\,M the instant before it collides with NNN.
Find the size of angle ϕ\phiϕ.
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.