# Free Fall Formula

## Free Fall Formula

Free fall as the term says, is a body falling freely because of the gravitational pull of our earth.

Imagine a body is falling freely for time t seconds, with velocity v, from a height h, due to gravity g.

Free Fall Formulas are three in number and are articulated as

$h\,&space;=\,&space;\frac{1}{2}\,gt^{2}$
$v^{2}\,&space;=\,&space;2gh$
$v\,&space;=\,&space;gt$

Free fall is autonomous of the body’s mass. It only depends on height and the time period for which body is flung.

Free fall Problems Solved Examples

Underneath are given questions on free fall which may be useful for you.

Problem 1: Compute the height of the body if it is has a mass of 2 Kg and touches the ground after 5 seconds?

Given: Height h = ?
Time t = 5s
We all are acquainted with the fact that free fall is independent of mass.

$Hence\,&space;it\,&space;is\,&space;given\,&space;as\,&space;Height\,&space;h\,&space;=\,&space;\frac{1}{2}gt^{2}$
$=\,&space;0.5\,&space;\times\,&space;9.8\,&space;\times\,&space;(5)^{2}$
$=\,&space;122.5\,&space;m.$

Problem  2: The cotton falls after 3 s and iron falls after 5 s. Which is moving with higher velocity?