I was pulling up to the Subway sandwich shop to pick up my lunch. I was approaching from their back ally (coming from Walgreens next door) so I could not have been going faster than a few miles per hour. As I approached the parking space the car started speeding up so I turned right to keep from going through the building and drove in circles to keep from hitting the buildings. I could not go onto the street because traffic was heavy. I kept pumping the brakes and the car did not stop until I hit a parked car and pushed that car into another car. All airbags deployed. My 16 year old grandson and I were injured, but no individuals were in the parked cars.