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3.3 Projectiles (A-level only)

3.3 Projectiles (A-level only)

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Question 61

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.

[5]
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3.3 Projectiles (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Projectiles (A-level only)

91 exam-style questions on OCR (MEI) A Level Maths 3.3 Projectiles (A-level only), covering 3.3.1 Model motion under gravity using vectors (A-level only), 3.3.2 Position, velocity, range and maximum height (A-level only), 3.3.3 Find the initial velocity of a projectile (A-level only), 3.3.4 Equation of the trajectory (A-level only), and 3.3.5 Solve simple projectile problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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