Kinematics Question 216

Question: A body freely falling from the rest has a velocity v after it falls through a height h. The distance it has to fall down for it’s velocity to become double, it’s [BHU 1999]

Options:

A) $ 2h $

B) $ 4h $

C) $ 6h $

D) $ 8h $

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Answer:

Correct Answer: B

Solution:

Let at point A initial velocity of body is equal to zero for path AB : $ v^{2}=0+2gh $ -(i) for path AC : $ {{(2v)}^{2}}=0+2gx $

$ 4v^{2}=2gx $ -(ii) Solving (i) and (ii) $ x=4h $



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