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A frame of reference with respect to which an object with no real forces acting on it will move with constant velocity, i.e. no acceleration. Newton's Second Law applies only in inertial reference frames. |
An inertial coordinate system has no acceleration with respect to objects with no measurable force on them. Although its acceleration is zero, its velocity can have any arbitrary value. Hence any frame of reference moving with constant velocity relative to an inertial reference frame is also an inertial reference frame.
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