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Question 94

A diagram shows points A and B 50 m apart on horizontal ground, with balls P and Q projected from A and B at angles 30° and θ respectively, with speeds 25 ms⁻¹ and U ms⁻¹.

The points A and B lie 50 m apart on horizontal ground. At time t=0t = 0t=0 two balls, P P\,P and QQQ, are projected from the points A and B. Ball P P\,P is projected with speed 25 ms-1 at an angle of 30∘ 30^\circ\,30∘ to the horizontal. Ball Q Q\,Q is projected with speed U ms−1U \text{ ms}^{-1}U ms−1 at an angle of θ \theta\,θ to the horizontal. At time t=2t = 2t=2, P P\,P and Q Q\,Q collide.

a.

Find the velocity of P P\,P the instant before it collides with QQQ.

[6]
b.

Find (i) the value of Usin⁡θ U \sin \theta\,Usinθ and (ii) the value of Ucos⁡θU \cos \thetaUcosθ.

[4]
c.

State one limitation of the model that could affect the accuracy of your answers.

[1]
Markscheme

Projectiles Questions

  1. A Level
  2. /Maths
  3. /Projectiles

230 exam-style questions on Edexcel A Level Maths Projectiles, covering 6.1 Horizontal Projection, 6.2 Horizontal and Vertical Components, 6.3 Projection at Any Angle, and 6.4 Projectile Motion Formulae. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank