The performed research about the dynamics of a three wheeled mobile platform is described in the paper. In the model of the platform motion three independently steered wheels are included. The prototype has been developed by the author's construction assumptions that is useful to realize the motion of the platform in a various configurations of wheel drives, including control of the active forces and the direction of their settings while driving. The work is dedicated to the designing motion of the three wheeled mobile platform under the unsteady conditions. Friction forces, in longitudinal and in the transverse directions, are considered in the scope of this work. Relation between friction and active forces (which cause the motion) are also included. The formulated initial problem of dynamics of motion has been solved numerically using the Runge-Kutta method of the fourth order. The behavior of a center of mass of the platform and the behavior of the wheels is graphically presented. Results of motion analysis with motion parameters values are determined and sample results are presented.