Is it possible to give the setup of an experiment which tells you that your frame is moving at a constant velocity?
If yes, what can the experiment be?
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Assuming we are talking about the standard physics situation where you are coasting through outer space in a spaceship with no windows, the answer is no, there is no experiment you could perform which would tell you what your velocity is. The mathematical and physical reasoning behind this can be found in texts dealing with special relativity.