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JAMB Physics 2006 Question 19

Question 19

Motion

A shooter wants to fire a bullet in such a way that its horizontal range is equal to three times its maximum height. At what angle should he fire the bullet to achieve this?

  1. A.53°
  2. B.68°
  3. C.30°
  4. D.45°
Show the answer and explanation

Answer: A (53°)

Explanation

R = 2u2sin θ cos θ/g and H = u2sin2θ/2g. Setting R = 3H gives 2 cos θ = 1.5 sin θ, so tan θ = 4/3 and θ ≈ 53°.