For each section of the track, the tangential acceleration differential equation is built and numerically solved at each point along the track using the Runge-Kutta method with initial conditions specified by the position and velocity determined at the end of previous features. The result is the velocity and tangential acceleration at every point along the track. Now that the velocity and radius of curvature at every point along the track is known, the centripetal acceleration can now be calculated at each point. After converting accelerations to G forces, the areas of high G forces and their durations can be calculated and compared to the ASTM duration limits. Because the height at every position along the track is also known, both the potential and kinetic energy at every point along the track can be calculated.