We use to do this transition in the camera. At the tail of a nice steady shot we'd "whip pan" or "swish" the camera left or right by spinning in a circle. This would be followed by the next shot, hopefully nice and steady creating a "swish pan" transition instead of the usual straight cut. I'd use the "swish pan" to denote a complete change of scene. This was "editing" in the camera. Did a lot of that in those days.
Film was expensive. Shooting near 1 to 1 ratio was a good thing.

How to emulate the "swish pan" in Vegas? .. Don't know. But you can shoot one easily and cut it in.