A collision avoidance system in a host vehicle that employs combined automatic braking and steering. The collision avoidance system defines thresholds that identify a time to collision with a target vehicle by the host vehicle that are based on the speed of the host vehicle, the acceleration of the host vehicle, the speed of the target vehicle, the acceleration of the target vehicle, the distance to the target vehicle from the host vehicle and a coefficient of friction of the roadway. The collision avoidance system provides full automatic collision avoidance braking if the time to collision is less than one threshold and the lane adjacent to the host vehicle is not clear. The collision avoidance system provides both automatic steering and braking of the host vehicle if the time to collision is less than another threshold and the lane adjacent to the host vehicle is clear.