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Question 115

A projectile is launched from O at 45° above the horizontal, with O vertically above A by k m and B on the ground 80 m from A.

A ball is projected with speed U ms−1U \text{ ms}^{-1}U ms−1 from the point OOO, k mk\text{ m}k m above the horizontal ground. The ball is projected at an angle of 45∘ 45^\circ\,45∘ above the horizontal. The ball hits the ground at the point BBB, where AB=80 mAB = 80 \text{ m}AB=80 m. The motion of the ball is modelled as that of a particle moving freely under gravity.

a.

Find the value of U U\,U in terms of kkk.

[6]
b.

Find the maximum height of the ball above the ground, in terms of kkk.

[3]
c.

In a refined model the effect of air resistance is included. How would this value compare to your answer in part (a).

[1]
Markscheme

Projectiles Questions

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

229 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.

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