Inertial Coordinate Systems

Inertial coordinate systems are used in classical mechanics to describe the motion of a particle. Suppose the system is at rest and a second coordinate system is moving with constant velocity with respect to . An event can be located in either coordinate system. The relations between the coordinates of the event are called Galilean transformations and are nonrelativistic.

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These relations can be summarized as
For more information, see the Wikipedia entries for Frame of Reference and Galilean Transformation.
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