Relative Velocity - Classical Mechanics

Classical Mechanics

In the Newtonian limit where approximately the Galilean transformation

holds, it is identical with the vector difference between the velocities of A and B, as evaluated in terms of a single coordinate system:

.

Due to Einstein's Special Relativity (SR), doesn't hold in general. 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".

Read more about this topic:  Relative Velocity

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