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JEE Main202226 Jul 2022Morning ShiftPhysicsMotion in Two DimensionsActual

Two projectile thrown at 30 ° and 45 ° with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is

Options

  1. A1 : 2
  2. B2 : 1
  3. C2 : 1
  4. D1 : 2

Correct answer

C. 2 : 1

Step-by-step solution

Time taken to reach maximum height is given by t = u sin θ g , where, u is initial velocity. Here, t 1 = t 2 ∴ u 1 sin θ 1 g = u 2 sin θ 2 g ⇒ u 1 sin 30 = u 2 sin 45 ⇒ u 1 u 2 = 1 2 1 2 = 2 1 = 2 : 1

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