THE STUDENT HAD RECENTLY PURCHASED THE ACFT. ON 9/5/85, AN INSTRUCTOR PLT, WHO HAD DELIVERED THE ACFT TO THE WINNEMUCCA ARPT, GAVE THE STUDENT A TOTAL OF 0.4 HR DUAL INSTRUCTION, WHICH INCLUDED 2 LANDINGS. THE INSTRUCTOR THEN INDORSED THE STUDENT'S LOG BOOK FOR SOLO FLT IN THIS ACFT, BUT HE DID NOT INDORSE THE STUDENT'S PLT CERTIFICATE. FIVE DAYS LATER,THE STUDENT ELECTED TO GO ON HIS 1ST SOLO FLT IN THE ACFT. HE TOOK OFF WITH A QUARTERING TAIL WIND. HE STATED THAT DRG THE TAKEOFF, THE ENG SEEMED TO BE LOSING POWER, ALTHOUGH ITS SOUND SEEMED TO REMAIN STEADY. AFTER REACHING APRX 50 FT AGL, IN A NOSE HIGH ATTITUDE, THE ACFT SETTLED & FELL OFF ON ITS RIGHT WING, THEN IT COLLIDED WITH THE GROUND. THE DENSITY ALT ON THE DAY OF THE ACCIDENT WAS 4300 FT. NO PREIMPACT PART FAILURE OR MALFUNCTION OF THE ACFT OR ENG WAS FOUND.