JEE Main · PhysicsHard

A body is dropped from a height $h$. Simultaneously, another body is projected vertically upwards with velocity $u$ from the ground. They meet at a height $h/2$. What is the value of $u$?

  1. A.$\sqrt{gh}$
  2. B.$\sqrt{gh/2}$
  3. C.$\sqrt{2gh}$
  4. D.$\sqrt{gh/4}$
Show correct answer & step-by-step solution

Correct answer: A$\sqrt{gh}$

Solution

For the falling body, . For the rising body, . Substituting , we get , so .

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