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NTA Abhyas JEE Main2020PhysicsMotion in One DimensionPractice

A balloon rises from rest with a constant acceleration of g 8 . A stone is released from it when it has risen to height h . The time taken by the stone to reach the ground is n h g seconds. Then what is the value of n ?

Correct answer

2

Step-by-step solution

From equation v 2 = u 2 + 2 a s Given, u = 0 , a = g 8 ∴ We have, v = 2 g 8 h When the stone released from this balloon. It will go upward with velocity v = g h In this condition, time taken by stone to reach the ground, − h = v t − 1 2 g t 2 t = v g 1 + 1 + 2 g h v 2 = g h 2 g 1 + 1 + 2 g h g h 4 = 2 g h g = 2 h g

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