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Higher physics Galilean invariance and Newtonian relativity confusion

In Newtonian relativity velocities depend on the frame of reference, so velocities will be different, but Galilean invariance says the laws of motion hold true in every inertial frame of reference, so would the velocities from different frames of reference be the same, and if so wouldn’t that contradict Newtonian Relativity? Please someone answer.

Reply 1

sigmagrindset49

No, velocities from different references frames would still be different in Gallelian relativity. When we say that the laws of motion are the same, that doesn't refer to velocity since velocity isn't a law of motion. It mainly refers to the fact that acceleration is the same in all reference frames.