# Explain Laws of Falling Bodies

Galilio discovered three laws relating to falling bodies : These are called laws of falling bodies. These laws are applicable only for bodies falling from rest without any resistance. At the time of falling, the body will “fall from rest, it will have no initial velocity. The body will fall freely without any resistance, that is, no force other than the gravitational force will act on the body. For example, the resistance due to air will not act on it.

Laws of falling bodies are:

First Law: All bodies falling from rest and from the same height without any resistance traverse equal distance in equal time.

Second Law: Tlie velocity (v), acquired by a freely falling body from rest in a given time (t) is directly proportional to time that is, v ∞ t

Third Law: The distance (h) traversed by a freely falling body from rest in a given time (t) is directly proportional to the square of the time, that is, h ∞ t2

Equation of falling Body: Let a body be falling freely due to gravity with initial velocity u. The body attains a velocity v after time t. If the body falls through a distance h in that time and distance s is replaced by It and acceleration a is replaced by accelerate on due to gravity g then the equations of falling body will be as following.

v = u + gt

h = (u + v)t / 2

h = ut + ½ gt2

v2 = u2 + 2gh