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# plz explain about the above topic

## 1 Answers

10 years ago

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 $\mathbf{v}_A$ and $\mathbf{v}_B$ 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, $\mathbf{v}_{A/B}$, or $\mathbf{v}_{A \mathrm{\ rel\ } B}$) is $\mathbf{v}_{A \mathrm{\ rel\ } B} = \mathbf{v}_A - \mathbf{v}_B$.

Conversely, the velocity of B relative to A is $\mathbf{v}_{B \mathrm{\ rel\ } A} = \mathbf{v}_B - \mathbf{v}_A$.

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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