The student pilot, who was on a solo flight, performed two normal take-off and landings; however, on the third landing, the airplane hit the runway hard and bounced. Following the second bounce the student initiated a go-around. The student pilot continued around the traffic pattern and did a “normal” landing. An inspection of the airplane, following the accident, revealed that the propeller tips were slightly damaged, the nosewheel tire was flat, and the firewall area sustained structural damage.