What is the greatest amount of g forces experienced?
I believe that 9 g's is about the maximum for human beings..
at 9g's, most will black out after a few tens of seconds.
Since most modern jet fighters can pull at least 9 Gs in a tight
turn, this is a serious problem for the Air Force.
The early manned-space flight program used to launch astronauts
at 9 Gs, the Mercury, Gemini, and Apollo programs. The space
shuttle is launched at a "comfortable" 3 Gs.
Actually, one can experience much higher accelerations for
very short periods of time with little injury - I have heard
of up to 100 g's for a fraction of a second. Your body can
effectively lower the force by compressing a bit too, so actually
no acceleration really acts instantaneously.
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Update: June 2012