On September 10, 1996, at 1125 hours Pacific daylight time, a Piper PA28-140, N4308F, collided with the runway shoulder after landing on runway 24 at the General William J. Fox Airport, Lancaster, California. The airplane sustained substantial damage and the student pilot was not injured. The airplane was being operated by AV Aviation, Lancaster, as an instructional flight. The local flight began about 1100. Visual instrument meteorological conditions prevailed. The student pilot indicated he was on his second supervised solo with his first on September 5, 1996. The pilot completed five touch-and-go takeoffs and landings with his instructor earlier in the day. The instructor released the student pilot to practice his takeoffs and landings in the traffic pattern. The student pilot was on his fourth solo landing when the accident occurred. He landed right of the runway centerline and corrected his alignment during the landing roll. He then added power and the airplane veered left. He attempted to correct back to the centerline, but the airplane started to skid and departed the runway. The nose gear collapsed in soft soil damaging the propeller and wing. The student pilot also indicated that there were no mechanical failures or malfunctions with the airplane on his accident report. The air traffic control tower reported the winds were calm. Runway 24 is 5,001 feet long and 150 feet wide.