On March 3, 2005, about 1045 eastern standard time, a Cessna 172, N4980R, registered to the United States Air Force and operated by Jacksonville Navy Flying Club, as a Title 14 CFR Part 91 instructional flight, had a hard landing at the Herlong Airport, Jacksonville, Florida. Visual meteorological conditions prevailed and no flight plan was filed. The student pilot received no injuries, and the airplane incurred substantial damage. The local flight originated earlier that day, about 1020. The student pilot stated her second landing approach was a "little fast" and right at the point she flared the nosewheel hit the runway hard. She attempted to maintain control of the airplane, but the nosewheel hit hard again. She then applied full throttle deciding to make a go-around. The third landing was without incident and she taxied back to the ramp. After the airplane was secure she observed the airplane, and found damage to the propeller and nose. The student pilot stated there were no mechanical failures or malfunction to the airplane or any of its systems prior to the accident. The chief pilot for the Navy flying club stated he observed the student pilot takeoff and fly the traffic pattern. The second approach seemed slightly fast, but well controlled. The round out and flare appeared to be normal but the airplane seemed to touch down early, landing flat on all three wheels. Then the nose came up abruptly and the airplane climbed about 3-4 feet into the air followed by the nose coming down abruptly and appeared to contact the runway. Again, the airplane rose about 3-4 feet followed by an abrupt change in pitch nose down, and the nosewheel may have contacted the runway a second time. The student then added power and entered a shallow climb. After flying the traffic pattern the student landed normally and taxied back to the ramp. After the engine was secured he observed damage to the propeller tips, buckling of the fire wall and floor board panels.