Assigment of maximal acceleration of a car as a function of some independent variables

The procedure for calculation of a car maximal acceleration during speeding up with changing shifts of a gearbox in dependence on several independent parameters has been presented in the paper.  The parameters taken into consideration are the angle of a road slope and the additional vehicle load. The maximal acceleration for investigated vehicle category has been calculdted on the basis of many numerical simulations. During these simulations the dynamics of vehicle motion has been modelled for different road conditions. In order to approximate the results of acceleration the power polynomials were applied.  The least sąuare method has been used in calculations of polynomial coefficients. The results of modelling of the vehicles dynamics concern two passenger cars and one heavy duty car. Simulations of speeding up were obtained using the model of vehicle dynamics. Especially, model of vehicle, the traction characteristic of the passenger car with SI engine, the maximal driving force on  wheels during vehicle acceleration calculated on the basis of traction characteristic,   the maximal acceleration of the passenger cars and according to the model of vehicle dynamics during speeding up with changing shifts of a gearbox in dependence on different parameters of road slope and vehicle load are presented in the paper.