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plz explain about the above topic

plz explain about the above topic

Grade:11

1 Answers

Aakashdeep Dhiman
21 Points
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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