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 its velocity to become double, is

• A. $2h$
• B. $4h$
• C. $6h$
• D. $8h$

Answer 1

Answer: (B)

$4h$

Answer 2

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) $x = 4h$