The solo student pilot reported that the airspeed was too fast during the landing flare and touchdown. The airplane bounced on the runway. She did not take corrective action and the airplane continued to bounce. She reported that she let go of the yoke and “hit” the brakes. The airplane nosed down and the propeller hit the runway. The postaccident inspection of the airplane revealed that the firewall was bent. The student pilot reported that there was no mechanical malfunction or failure of the airplane.