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JEE Main202430 Jan 2024Evening ShiftPhysicsMotion in Two DimensionsActual

Projectiles A and B are thrown at angles of 45 ° and 60 ° with vertical respectively from top of a 400 m high tower. If their times of flight are same, the ratio of their speeds of projection v A : v B is:

Options

  1. A1 : 3
  2. B2 : 1
  3. C1 : 2
  4. D1 : 2

Correct answer

D. 1 : 2

Step-by-step solution

For same time of flight, vertical component of velocity of projection must be same. Therefore, v A sin 45 ° = v B sin 30 ° ⇒ v A v B = 1 2 1 2 ⇒ v A v B = 1 2

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