Free Fall Formula

Falling is defined as the motion of a body in which it moves only under gravity, without any form of side forces such as friction with air. The object falls at a constant acceleration rate downwards, on Earth, being about 9.81 m/s

All objects, regardless of their weights being heavy or light, have the same acceleration due to gravity while in free fall. Thus, a heavy and a light object dropped from the same height will fall at the same rate, and both will hit the ground simultaneously if no air resistance is present.

Formulas 

The free fall is irrespective of the mass of the body. It depends only on the height and the duration the body is flung for.

Solved Examples

Problem 1: Find the height of the body if its mass is 2 kg and after 7 seconds it falls on the ground?

Answer:

Given: Height h =?

Time t =7s

We all know that the free fall depends on mass.

Therefore, it is expressed as

h = 0.5 × 9.8 × (7)2

h = 240.1 m

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

Answer:

Velocity in free fall is independent of mass.

V (Velocity of iron) = gt = 9.8 m/s2 × 5s = 49 m/s

V (Velocity of cotton) = gt = 9.8 m/s2 × 3s = 29.4 m/s.

The Velocity of iron is more than cotton.