Method and apparatus for longitudinally controlling vehicle

The invention relates to a method for longitudinally controlling a vehicle (1) according to a target trajectory (Tsoll) which predefines a series of target positions (Pk) to be occupied by the vehicle (1) over time (t). On the basis of an actual state (Z) of the vehicle (1), an adjusting acceleration (actrltrj) for trajectory control is ascertained, by means of which the vehicle (1) is to be accelerated in accordance with a specification of the target trajectory (Tsoll). On the basis of an actual speed (Vist) of the vehicle (1) and a predetermined maximum speed (vmax) that should not be exceeded when passing through the target trajectory (Tsoll), an adjustment acceleration (actrlv) for speed control is ascertained, by means of which adjustment acceleration the vehicle (1) should be accelerated in order to guide the vehicle at the maximum speed (vmax). According to the invention, the two adjusted accelerations (actrltrj, actrlv) are supplied to a determiner (5.3), from which a resultant adjusted acceleration (