Two objects, P P\,P and QQQ, are dropped from rest from different heights above level ground.
Object P P\,P is released from a height of H H\,H metres.
Object Q Q\,Q is released T T\,T seconds after P P\,P from a height of cH cH\,cH metres, where 0<c<10 < c < 10<c<1.
Both objects hit the ground exactly 4 seconds after P P\,P was released.
Assuming air resistance is negligible, prove that
T=4(1−c)T = 4(1 - \sqrt{c})T=4(1−c)
Fully justify your answer.
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.