I REALLY like my 10-22 ef-s lens.
I have not used it in jumping, but It occurs to me that that lens is a bit large for something that I want on my head. Another concern to this lens is that the lightweight construction means that it has this plastic mounting ring. I'm not sure that it would be the best thing to use for a camera in flight.
One of the greatest things about the 10-22 is the non-existence of a fisheye effect due to the amorphic elements.
Here is a example of something I've done with it.
The picture with the foot, I am about 2 inches from the climber's foot, and still not getting much distortion, even though the climber looks freakishly long.
http://www.michaelgregg.com/photo/7-30-05-climbing/normal/IMG_4427%20(1).JPG
The picture of me hitting that pocket makes the ground look like it's 20 feet away, even though I could hit the ground with my feet if I put my feet down.
http://www.michaelgregg.com/photo/7-30-05-climbing/normal/IMG_4435%20(1).JPG