The shape of the power function for a sprint is often about the same. The parameters for maximum power and average power can be used to control the shape. The equations take into consideration the instantaneous curvature of the rider's path and the rider's lean. The model solves the differential equations for the displacement, velocity, and acceleration of the rider's center of mass and point of contact with the surface. The model provides plots of elevation, grade, curvature, speed, cadence, and g-force along a rider's path.
Plots also show the rider's lean in relationship to a rider's point of contact on the surface.
Example of table of output from an analysis of a flying 200. This was on a 200 meter track with steep turns. Notice that the center of mass travels less than the nominal 200 meters. N m Total work for Fly 200 4354. As a rider leans and the center of mass goes down, the rider increases speed just like a roller coaster, slow at the top, fast at the bottom.