I HAD DRIVEN THE CAR FROM FLORIDA TO NY WITH MY DOG. WHILE TRAVELLING NORTH ON I95 I NOTICED SOME INTERMITTENT BUCKING, HARD SHIFTING, AND GOING INTO NEUTRAL. IT WAS INTERMITTENT SO I ASSUMED IT WAS SOME ANOMALY. AFTER STOPPING AT MY FAMILIES RESIDENCE IN YONKERS NY. I DROVE THE CAR TO RIVERDALE TO VISIT MY MOTHER. AFTER LEAVING THE NURSING HOME I PROCEEDED ON THE RETURN TRIP TO YONKERS. I WAS NORTHBOUND ON THE SPRAIN PARKWAY AND EXITED AT TUCKAHOE ROAD. THERE IS A FULL STOP SIGN AT THE INTERSECTION. I WAS FULLY STOPPED LOOKED BOTH WAYS AN INCHED OUT TO MAKE A RIGHT TURN ( THE VISIBILITY OF ONCOMING TRAFFIC IN THE EASTBOUND DIRECTION IS LIMITED BECAUSE OF AN INCLINE AND THE ROAD HAS HIGH TRAFFIC VOLUME DURING THE DAY) I AM NOT CERTAIN IF THE CAR SLIPPED BACK INTO NEUTRAL OR THE INDIVIDUAL BEHIND ME FAILED TO MAKE A FULL STOP. I WAS HIT RATHER HARD IN THE REAR END. WITH OR WITHOUT THE TRANSMISSION CONCERN THE CAR BEHIND ME DID NOT OBEY THE STOP SIGN. MY CAR WAS TOWED TO A COLLISION AND REPAIR FACILITY. WHEN THE TECHNICIAN WAS ASSESSING DAMAGE HE PERFORMED A ROAD TEST AND FOUND THE CAR HESITATING AND SHIFTING IN AND OUT OF GEAR. HE CHECKED THE TRANSMISSION FLUIDS AND FOUND THEM TO HAVE A BURNING SMELL AND BE BLACK. I HAD ONLY HAD THE TRANSMISSION FLUID FLUSHED AND CHANGED IN JANUARY. AND PRIOR TO THAT LESS THAN 5 MONTHS EARLIER. *TR