As I may have mentioned I was fascinated watching the ski jumpers (as opposed to the slope style jumps) and thinking about the kinematics of the physical jumps themselves. Here is some data from a particular jump called the normal jump. The flat table of the jump is actually angled down at 10o below the horizontal while the ramp at the intended landing point is angled 32.5o above the horizontal. The K point (where the jumper gets the full credit for the jump) is 42 m below and 84 m forward of the lip of the jump. The plausible questions are how fast the jump must come off the lip to land at the K point and what direction he/she is traveling just before they hit.
Needless to say your solution will assume no air resistance which is an important miscalculation. For now we don't have the tools to do the more complex calculation. For those who want to go deeper here is the document which specifies the jump characteristics.
This image from the Sochi Olympics will give you a remarkable view of how this event evolves. I hope this image stays available as the years go by, it is very cool! (thanks Katie for finding this).
