[IronJack]

If you are in a free falling elevator would jumping up at the very end, just before impact, save your life?

Not unless you can jump at about 128 miles an hour straight upward.

By jumping, you're reducing your velocity relative to the elevator, but relative to the shaft (and the floor you're falling toward) only minimally.

[Hoodat]

Not unless you can jump at about 128 miles an hour straight upward.

Sounds like I have some work to do. Time to hit the jump rope. Just in case.

[USFRIENDINVICTORIA]

If the elevator was falling just fast enough to kill you, jumping up, just before impact, could save your life. It would reduce your velocity a bit, and that's all you would need to be falling just below lethal velocity. (Assuming that the elevator car doesn't break up, and impale you with parts.) Anyhow, if you ever find yourself in such a situation, what have you got to lose by trying. Just make sure it happens in a glass-bottom elevator -- so you can see when you're about to hit ground. (Then you just have to worry about being impaled by shards of glass.)