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In non-relativistic kinematics, relative velocity is the vector difference between the velocities of two objects, as evaluated in terms of a single coordinate system.
For example, if the velocities of particles A and B are and respectively in terms of a given coordinate system, then the relative velocity of A with respect to B (also called the velocity of A relative to B, , or ) is
Conversely, the velocity of B relative to A is
The expression "the velocity of A relative to B" is shorthand for "the velocity of A in the coordinate system where B is always at rest".
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