I've been having a look at it again... Well, if he doesn't really fall without wanting to, he's a better actor than I thought (and it's difficult to think higher of Mr Falk's abilities as an actor than I do)!
I thought the fall had been shot all in the same go, but although there's a cut in the middle, to me it looks like the same fall filmed using two different cameras (I'd say the final part from the first camera is the same as the first moments from the second camera).