LOSS OF ACFT CTL - THE STUDENT PLT LOST CTL OF THE ACFT ON HER SOLO FLT LNDG.

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I'M A FLT INSTRUCTOR WITH 490 HRS FLT INSTRUCTION TIME 1040 HRS TOTAL TIME. MY STUDENT COMPLETED ALL THE PRE- SOLO REQUIREMENTS TO SATISFACTION AND I ELECTED TO ALLOW HER TO SOLO. SHE DID 3 TKOFS AND 2 LNDGS TO PERFECTION AND LOST CTL ON THE ROLL OUT OF THE 3RD LNDG. I HEARD HER APPLY THE BRAKES HARD ENOUGH TO SKID THE TIRES. THE PLANE SWERVED AND SLID SIDEWAYS. THEN IT TIPPED ON ITS NOSE STRIKING THE PROP ON THE RWY. THERE WAS DAMAGE TO THE PROP; WINGTIP; NOSE GEAR AND SPINNER. PREVIOUS FLTS THE PLANE PULLED TO THE L AND IT WAS NECESSARY TO USE R RUDDER TO TAXI STRAIGHT. THE STUDENT'S EXPLANATION WAS SHE THOUGHT THE RUDDER CAME LOOSE IN THE AIR AND HIT THE BRAKES HARD TO STOP THE PLANE AFTER LNDG SINCE SHE WAS ON THE GND. SHE SAID SHE THOUGHT ABOUT GOING AROUND; BUT DIDN'T KNOW IF THERE WAS A PROB WITH THE RUDDER. THE EVENT WAS A COMPLETE SURPRISE THE STUDENT HAD BEEN FLYING FINE UP TO THAT POINT. THE PROB WITH THE PLANE PULLING TO THE L WHILE TAXING MAY HAVE BEEN A CONTRIBUTING FACTOR. CORRECT ACTION WOULD HAVE BEEN TO HAVE THE AIRPLANE INSPECTED PRIOR TO THE FLT. THE STUDENT PLT MADE A POOR DECISION TO USE HVY BRAKING TO STOP AND NOT ELECTING TO GAR AFTER GETTING OUT OF CTL. SINCE IT WAS HER 1ST SOLO; SHE WAS NERVOUS; AND MAY HAVE PANICKED. MORE TRAINING IN GARS AND COM ABOUT OVER-REACTING MAY HELP PREVENT THE SAME PROB FROM RECURRING. THE AIRPLANE WAS OWNED BY THE STUDENT PLT'S HUSBAND AND THEY TALKED ABOUT THE PROB WITH THE RUDDER PRIOR TO HER FLT; HE LOOKED AT IT AND COULDN'T SEE ANYTHING WRONG WITH IT. SUPPLEMENTAL INFO FROM ACN 299358:AS I WAS IN THE AIR FOR MY SOLO; TURNING XWIND I ALSO NOTICED THAT THE RUDDER SEEMED SLOPPY. IN RETROSPECT I SEE THAT I SHOULD HAVE FOLLOWED MY INSTINCTS AND HAD A MECH LOOK AT THE RUDDER; BUT BEING A STUDENT PLT AND UNFAMILIAR I WAS GOING BY WHAT MY INSTRUCTOR SAID.