A braking-system suitable for use on an automated vehicle includes a ranging-sensor, a braking-actuator and a controller in communication with the ranging-sensor and the braking-actuator. The ranging-sensor is used to detect an object proximate to a host-vehicle when the object resides in a field-of-view of the ranging-sensor. The field-of-view defines a bottom-edge of the field-of-view and a boundary of a conflict-zone, where the boundary corresponds to a portion of the bottom-edge. The a braking-actuator used to control movement of the host-vehicle. The controller determines a height of the object, determines a distance to the object, determines a range-rate of the object when the object is in the field-of-view, and activates the braking-actuator when an estimated-distance to the object is less than a distance-threshold, the height of the object is greater than a height-threshold, and the object has crossed the boundary and thereby enters the conflict-zone.