Excerpt from Notes on Mechanics, Designed to Be Used in Connection With Rankine's Applied Mechanics, Vol. 2: Dynamics
Motion is uniform when the velocity suffers no change, but remains constantly the same at all points of the body's path.
Motion is variable when the velocity is different at different points of the body's path. It is said to be Uniformly Varying when the velocity increases or decreases by equal amounts in equal times.
The amount of increase or decrease of a body's velocity in a unit of time is called its Acceleration.
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