Abstract: The method uses a computer which, in accordance with a function based on either time or distance of deceleration, delivers speed values to a control apparatus for the braking force of the vehicle. The control apparatus is utilized to deliver correcting control signals for correcting the braking forces, and a fixed braking force control signal is provided and has a magnitude which is rated for a braking which is accurate as to the deceleration distance under conditions of an ideal track and an average train length, as when the rail-guided vehicles are locomotive-drawn railroad trains. The correcting control signals are combined, after a first time delay and in the correct mathematical polarity, or relationship, to the fixed braking force control signal. Upon actuation of the vehicle brake, only the fixed braking force control signal is applied and the computer is actuated for picking up and storing the actual speed at this instant.