Method and device for accelerating a motor vehicle

A device for controlling a coasting mode of a vehicle in a context of a distance and speed control function of the vehicle, wherein the device is configured:

• to determine that the vehicle, upon an exit from the coasting mode, has an actual driving speed which is below a target speed of the distance and speed control function, or has an actual distance to a preceding vehicle, which is above a target distance of the distance and speed control function;
• in reaction thereto to effectuate a coasting exit acceleration of the vehicle reduced in relation to a standard acceleration of the distance and speed control function, in order to approximate the actual speed to the target speed or in order to approximate the actual distance to the target distance;
• to predict a distance and speed profile of the vehicle in the coasting mode;
• on a basis of the predicted distance and speed profile, to ascertain an exit driving progression for the exit from the coasting mode;
• to effectuate the exit from the coasting mode at the exit driving progression;
• to compare, as a first comparison, the predicted distance and speed profile to a speed threshold value lying below the target speed;
• to compare, as a second comparison, the predicted distance and speed profile to a distance threshold value lying above the target distance;
• and
• to ascertain the exit driving progression based on the first and second comparisons.