James... it really depends on the direction you intend to impart the force/energy. Parallel to the ground(as in forward or backward) like you would do for pushing, punching, thrusting, etc... a solid foundation is best... EXCEPT if your intent is to add momentum or lead-in distance(running, jumping, stepping) in the direction of travel/force. So that little jump offers a bit more travel and a bit more acceleration due to the effect of gravity on falling objects. This would all change if the competitors were able to "anchor" in with ski boots and add a downward pull(into the Earth) with their legs.
So grow your toenails, go barefoot and clampdown like an eagle!