Question

A freely falling body from rest acquires velocity V falling through a distance h. After the body falls through a further distance h velocity acquired by it is

• A. 2v
• B. v
• C. $\sqrt{2}$v
• D. 4v

Answer 1

Answer: (C)

$\sqrt{2}$v

Using the equations of motion
$v^2=u^2+2gh$ (u is 0)
$v^2=2gh$
$V=\sqrt{2gh}$
$v^2=u^2+2g{h}_2$
$V_2^2=4gh$
$V_2^2=4gh=2V^2$
$V_2=\sqrt{2}V$