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BITSAT2017PhysicsMotion in Two DimensionsActual

At what angle θ to the horizontal should an object is projected so that the maximum height reached is equal to the horizontal range?

Options

  1. Atan - 1 2
  2. Btan - 1 4
  3. Ctan - 1 ( 2 3 )
  4. Dtan - 1 3

Correct answer

B. tan - 1 4

Step-by-step solution

Given, H = R or u 2 sin 2 θ 2 g = u 2 sin 2 θ g sin θ × sin θ 2 = 2 sin θ × cos θ ⇒ tan θ = 4 ⇒   θ = tan - 1 4

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