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NTA Abhyas JEE Main2020PhysicsMotion in One DimensionPractice

A rifle with a muzzle velocity of 100 m s - 1 shoots a bullet at a small target 30 m away in the same horizontal line. How high above the target must the gun be aimed so that the bullet will hit the target?

Options

  1. A0 . 45   m
  2. B0 . 60   m
  3. C0 . 75   m
  4. D0 . 90   m

Correct answer

A. 0 . 45   m

Step-by-step solution

3 0 = u 2 sin2 θ g ⇒ 3 0 × 1 0 = 1 0 0 2 sin 2 θ sin2 θ = 0 . 0 3 ⇒ 2 θ = 0 . 0 3 θ = 0 . 0 1 5 ⇒ tan θ = 0 . 0 1 5 h 3 0 = 0 . 0 1 5 ⇒ h = 0 . 4 5 m

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