I was parked in a spot outside the Service Department of John Kennedy Ford, waiting for my son, who was getting his car serviced. I couldn't see the door of the Service Department, so I decided to move to a position in which I could see my son exit the Department. I put the car into Reverse to exit the spot and it accelerated at an uncontrollable rate of speed backwards, striking two cars parked outside the Service Department, pushing them into other vehicles in the parking area. I put the car into drive to pull away from the cars I impacted and the car accelerated at an uncontrollable rate of speed forwards, striking a curb in front of the showroom, causing my car to veer into two new cars on the lot, sideswiping the last car and veering my car into a lamppost along The Fairway. The collision caused my car to stop, causing the Driver airbag to deploy. At no time did the forward collision avoidance system cause the car to brake itself. When the car was moving, the engine was revving at maximum RPM. I wasn't able to control the vehicle. The policed officer who investigated the scene said he did not see any interference from the floor mat, which he said is a common cause. Upon reviewing the activities leading up to the crash, I recalled attempting to use the remote start feature of the vehicle, which had been operating flawlessly. However, on this day, it took 3-4 attempts to get the vehicle to start remotely, possibly indicating a computer flaw. I was injured; no one else was.