In classical mechanics and kinematics, Galileo's law of odd numbers states that the distance covered by a falling object in successive equal time intervals is linearly proportional to the odd numbers. That is, if a body falling from rest covers one unit of distance in the first arbitrary time interval, it covers 3, 5, 7, etc. units of distance in subsequent time intervals of the same length. This mathematical model is accurate if the body is not subject to any forces besides uniform gravity (e.g. it is falling in a vacuum in a uniform gravitational field). This law was established by Galileo Galilei who was the first to make quantitative studies of free fall.
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