1. A method for prediction and adaptation of movement trajectories T of a motor vehicle driving on a road for assisting an driver in his or her task of driving and/or for preventing a collision or reducing consequences of an accident, characterized in that for the prediction and adaptation of movement trajectories (T) of the motor vehicle ( 1 ), an intersection (U) of situatively required movement trajectories (SNT), which are determined using environment sensors ( 2 ), and physically possible movement trajectories (PMT), which result from properties that are characteristic of driving dynamics of the motor vehicle ( 1 ) and from a coefficient of friction (μ) obtained between tires and the road up to a maximum possible threshold coefficient of friction (μ max ), is formed, and only those movement trajectories (T) are taken into account that lie within the intersection (U).