Vehicle suddenly accelerated after pulling out of store parking lot at low speed into side street behind vehicle stopped at light (less than a car length in front) while pressing hard on brake. Vehicle lurched forward incrementally during the braking process, but vehicle kept accelerating causing vehicle to hit stopped vehicle numerous times before vehicle engine was finally turned off. Driver of both vehicles could have been seriously hurt. Vehicle was driven home after this incident without incident but has only been driven out of garage and onto and off towing truck. Car has not been inspected except for damage to vehicle and is currently awaiting insurance rep inspection at vehicle repair facility. Once damage is repaired car will be towed to dealership for inspection. Because of the short distance vehicle traveled no warning lamps/messages were noted.