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3.3 Projectiles (A-level only)

3.3 Projectiles (A-level only)

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Question 55

In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.

A particle P P\,P is projected from a point on horizontal ground with velocity k(3i+4j)k(3\mathbf{i} + 4\mathbf{j})k(3i+4j) m s−1^{-1}−1, where k k\,k is a positive constant, i\mathbf{i}i is horizontal and j\mathbf{j}j is vertically upwards.

Air resistance is modelled as negligible. The greatest height reached by P P\,P is 24 m above the ground.

a.

Find the exact value of kkk.

[3]
b.

Find the horizontal distance travelled by P P\,P before it returns to the ground.

[3]
Markscheme

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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