The student pilot stated that he began his second solo flight by performing a touch-and-go landing. He flared late and the airplane landed hard and bounced back into the air. The airplane bounced a second and third time before the nosegear collapsed. The airplane departed the left side of the runway, flipped over, and came to rest inverted. The firewall, empennage, and wings incurred substantial damage. The student pilot also stated that he had not previously experienced a hard or bounced landing and did not attempt the proper recovery technique.