During a solo cross country flight, originating from Norfolk, Virginia, flying to Rocky Mountain, North Carolina, on to Farmville, Virginia, with a final destination of Norfolk, Virginia, the student pilot turned the airplane to the wrong magnetic heading after takeoff from Rocky Mountain Airport. The student pilot did not realize he was off course for approximately three hours. The pilot contacted Farmville Airport and described the terrain below him to the airport personnel. They believed he was just outside Farmville, and that the airport was beyond the city he was flying over. The student pilot started to head towards the described airport when his engine quit. He made a forced landing in a university parking lot, striking a hedge and an unoccupied vehicle, before coming to rest. Post accident investigations revealed that there was one gallon of fuel in the right tank and the left tank was empty. The accident site was located near Lynchburg, Virginia, 40 nautical miles west of Farmville.