The paper concerns the modelling of a disturbance caused to vehicle motion on a skid pad during tests carried out at Driver Improvement Centres (DIC). The disturbance is induced with the use of a dynamic “kick plate”, which is a mandatory element of the equipment of driver improvement centres of the basic and higher degree, pursuant to the Regulation of the Polish Minister of Transport, Construction and Maritime Economy of 16 January 2013 on the improving of driving techniques. The disturbance caused by a lateral displacement of the kick plate (relative to the vehicle path) forces the driver to undertake defensive manoeuvres such as turning the steering wheel, braking, or accelerating, separately or in combinations. The paper presents a model of motion and dynamics of a motor vehicle as well as a method of practical implementation of such a disturbance. The simulation results, showing the scale of the disturbance to vehicle motion to which the driver being trained must respond, have also been included. The methodology and results of choosing the speed with which the vehicle is to be driven during the test have been presented as well.