Here is a pet rabbit doing this on youtube:
http://www.youtube.com/watch?v=LRzAs7C6zn4
I am not a very experienced rabbit hunter, but the only ones I have seen have been early morning or late evening coming out from briar thickets. I got one here a few weeks ago when I walked along this path which borders the thickets with my shotgun and pegged him as he was running from the path back to the thickets. So I figured I would set up on that path with my 22 and wait for them to come out.