I WAS STOPPED AT A RED LIGHT WITH ~1 CAR LENGTH BETWEEN ME AND ONE CAR IN FRONT OF ME. WHEN THE LIGHT TURNED GREEN AND THE CAR AHEAD BEGAN TO MOVE, I TOOK MY FOOT OFF THE BRAKE AND MOVED IT TO THE ACCELERATOR AS USUAL. AT THAT POINT, MY CAR RAPIDLY ACCELERATED OUT OF CONTROL AND HIT THE CAR IN FRONT. MY BRAKES WOULDN'T ENGAGE AND MY CAR CONTINUED TO ACCELERATE RAPIDLY. I HAD TO SWERVE AROUND THE CAR I HIT WHILE MY CAR CONTINUED AT HIGH SPEED THROUGH TWO STOP SIGNS IN A RESIDENTIAL NEIGHBORHOOD. DURING THIS TIME, I HAD TO SWERVE TO AVOID HITTING ONCOMING CARS. ALL THE WHILE I WAS TRYING TO APPLY BRAKES, BUT THEY WOULDN'T ENGAGE AND MY SPEED DIDN'T DECREASE. AFTER APPROXIMATELY 1/2 MILE, THE BRAKES FINALLY ENGAGED AND I WAS ABLE TO BRING THE CAR TO A STOP. MY AIRBAGS DIDN'T DEPLOY AFTER THE INITIAL IMPACT, PERHAPS BECAUSE OF THE INITIAL LOW SPEED.