What does Galileo Galilei’s law of falling bodies state?

Galileo Galilei’s law of falling bodies states that objects falling freely near the surface of the Earth undergo constant acceleration regardless of their mass.21

Specifically, Galileo discovered that the distance a body travels from rest is proportional to the square of the elapsed time. He demonstrated that, in the absence of air resistance, all bodies fall with the same constant acceleration, a finding that contradicted the Aristotelian belief that the speed of a falling object is proportional to its weight.231

This motion is characterized as uniformly accelerated motion, where the acceleration due to gravity near the Earth's surface is approximately $9.8$ meters per second squared. By establishing these mathematical principles, Galileo shifted the study of motion from qualitative accounts to a quantitative, experimental science.214