A rear vision system for a vehicle includes a rear backup video camera and a display device. A control activates display of captured video images by the display device when a transmission of the vehicle is shifted into reverse gear and deactivates display of the video images upon shifting of the vehicle transmission out of reverse gear once a threshold deactivation condition is met. The threshold deactivation condition is at least one of (a) forward travel of the vehicle exceeding a threshold speed of forward movement after the vehicle transmission has been shifted out of reverse gear, (b) forward travel of the vehicle exceeding a threshold distance of forward movement after the vehicle transmission has been shifted out of reverse gear and (c) a threshold period of time elapsing after the vehicle transmission has been shifted out of reverse gear, the threshold period of time constituting a linger time.