The paper shows a typical drive systems used in today's vehicles, mainly cars. Approximated scheme of the formation of the driving force of the vehicle and the necessary mathematical relations for the calculation. For example, a typical passenger car BMW 320 was analyzed and calculations obtained a driving force, of adhesion and acceleration. The calculations were performed for the drive system, the classical (i.e. the rear axle of the vehicle) for front-wheel drive and four-wheel drive (4×4). Virtually assumed that to the above mentioned vehicle it is possible buildings of each of said system. These are shown graphically in diagrams bearing a distribution of the forces acting on the substrate and the reactions - the data necessary for the calculations. The resulting calculation is graphically shown in the diagrams, in which is illustrated a change value of the resulting adhesive strength, and the acceleration depending on the drive type vehicle.
 Dębiński M.: Teoria ruchu samochodu. Transport and Communication Publishers, Warsaw 1979.
 Fundowicz P., Radzimierski M., Wieczorek M.: Konstrukcja pojazdów samochodowych. Wyd. Szkolne i Pedagogiczne S.A. Warszawa 2010.
 Kowalski M.: Ocena stanu technicznego układów decydujących o bezpieczeństwie jazdy w samochodach o dopuszczalnej masie całkowitej do 3,5 t. Promoter Thesis: Dziubak T. Military University of Technology, Warsaw 2012.
 Kowalski M.: The effect of automotive vehicle braking system failure on driving safety. Journal of KONES Powertrain and Transport. Vol. 20, No. 1 Warsaw 2013.
 Kowalski M.: Safe speed of a passenger car in circular motion. Journal of KONES Powertrain and Transport. w druku, Warsaw 2014.
 Prochowski L.: Mechanika ruchu. Transport and Communication Publishers, Warsaw 2005.
 Siłka W.: Teoria ruchu samochodu. Science and Technology Publishers (WNT), Warsaw 2002.