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KVPY2020PhysicsMotion in Two Dimensions

Two balls are projected with the same velocity but with different angles with the horizontal. Their ranges are equal. If the angle of projection of one is 30 ° and its maximum height is h , then the maximum height of other will be

Options

  1. A1 h
  2. B3 h
  3. C6 h
  4. D10 h

Correct answer

B. 3 h

Step-by-step solution

For the same range, another projection angle will be 90 ° - 30 ° = 60 ° h = u 2 sin 2 30 ° 2 g h 1 = u 2 sin 2 60 ° 2 g h 1   h = sin 2 60 ° sin 2 30 ° = 3 ⇒ h 1 = 3 h

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