A method for operating a system including an agricultural working vehicle on which at least one working device is arranged, which working device, when moving across a field, is operated along a current linear row. A control unit is associated with the working vehicle and the sensor unit is arranged on the working device. The sensor unit includes an acceleration sensor, a memory unit and a transmitter unit, which wirelessly communicate with one another. The at least one acceleration sensor continually sends signals to the control unit that represent vertical accelerations and which are evaluated in order to determine movement amplitudes of the working device so that, as a function of the movement amplitudes, a maximum travel speed is determined, which ensures that the at least one working device will stay on its current linear row while driving across the field.
