On October 9, 2002, about 1645 central daylight time, a Piper PA-28R-200, N22DB, registered to and operated by an individual, impacted with a parked airplane at the Folsom Field Airport, Cullman, Alabama. Visual meteorological conditions prevailed at the time and no flight plan was filed for the 14 CFR Part 91 instructional flight. The airplane was substantially damaged. The commercial-rated pilot-in-command/certified flight instructor (CFI), private-rated pilot and one passenger reported minor injuries. The flight departed the same airport at 1640. During a touch-and-go landing with the student at the controls, the CFI stated that the student approached to land on runway 02, "over flared" causing the airplane to "climb some," and also "slow down." The CFI told the student to "add some power," and the student added "too much" causing the airplane to climb a "little more." The CFI took over control of the airplane, and the student relinquished control to the CFI. The CFI added full power to the engine, but said he was too slow in "reducing flaps." He noted that the airplane was not "accelerating or climbing," so he "reduced the flaps to the second notch," but said he was "too far behind the airplane to recover." He reduced power to "idle," landed hard, bounced, struck a parked airplane with the left wing, and went down into a gully. According to the FAA inspector, the CFI said the airplane went through the infield between the runway and taxiway. The airplane contacted the ground two or three times before striking an airplane that was parked on the ramp adjacent to the taxiway.