The student pilot reported that during his second solo flight he encountered a gust of wind during the landing flare and the airplane ballooned and then bounced twice on the nose wheel. After the second bounce, the student pilot applied full power and aborted the landing. The subsequent landing was uneventful and he taxied to the ramp. A postaccident examination revealed substantial damage to the firewall.
The pilot reported that there were no mechanical malfunctions or failures with the airplane that would have precluded normal operation.