The article gives an account of the results of construction of mathematical modeling of the wagon rolling down the hump under the impact of gravity and head wind aerodynamic drag forces that made it possible to derive analytical formulas for determining wagon speed and traversed distance during rolling down the first profile hump section. The results of the analytical research of dynamics of wagon rolling down the first high-speed hump section can be used for all the rest hump sections taking into account the specifics of braking forces on these sections. The novelty of the derived formulas of wagon speed rolling down high-speed hump section is in presenting head wind aerodynamic drag force as depending on the wagon speed rolling down hump profile and speed and direction of air flow with proper allowance for resistance forces arising during wagon movement.