It stretches the concept of "human powered". Why not just pedal while stationary to charge a battery (take as long as you like), and then ride the course with no additional expenditure of effort.
Well, the course is a 5mile run up to a 200m speed trap. So if you allow batteries/motors, you could just sit stationary somewhere in that 5 miles pedalling for a while, and then use electrical acceleration to get up to speed for the trap. You're not bringing any additional energy, but its clearly not in the spirit of the challenge.