WHILE DRIVING ON I-95 IN FT. LAUDERDALE, FLDURING RUSH HOUR I REAR ENDED THE CAR IN FRONT, SPEED APPROXIMATELY 30MPH OR LESS BEFORE APPLYING BRAKES. CAR NOSE DIVED AND HIT REAR OF OTHER CAR GOING UNDER THE REAR BUMPER. MY CAR SUFFERED MINOR DAMAGE OF BOTH FENDERS, HEADLIGHTS, RADIATOR. FRONT BUMPER WAS UNTOUCHED, AIR BAG DID NOT DEPLOY. I TURNED IGNITION OFF, PUT CAR IN PARK, STEPPED OUT OF CAR AND AFTER APPROXIMATELY 2 - 5 MINUTES FIRE WAS VISIBLE BELOW BUMPER THAT RAPIDLY TURNED INTO A FULL FLEDGED FIRE ENGULFING THE ENTIRE CAR. THE COLLISION CAUSED NO DAMAGE TO THE CAR PAST THE FRONT OF THE ENGINE, FLYWHEELS UNTOUCHED. FIRE TRUCK ARRIVED TO PUT OUT FIRE. NO EXPLOSION OCCURRED. THE COLLISION SHOULD NOT HAVE CAUSED A FIRE