In an acceleration device including a carrier element movably disposed in a housing together with a first energy store which is connected to the carrier element for moving the carrier element from a locked parking position to an end position while its energy is being discharged, a second energy store, which is charged with an initial energy amount when the carrier element is in the parking position, is associated with a guide element and is discharged upon release of the carrier element from the parking position while the carrier element is moved to an end position opposite the parking position. The second energy store, while being discharged to a residual energy amount, controls, by means of the guide element, the energy change rate of the first energy store at least in a part of its discharge time interval.