DURING ARRIVAL, THE PLT ENTERED THE TRAFFIC PATTERN BEHIND OTHER ACFT TO LAND ON RWY 12. AT THAT TIME, A BOEING 727 WAS WAITING TO TAKEOFF ON THE SAME RWY. AT 1914:52, THE PLT (OF N92259) WAS INSTRUCTED TO START A LEFT TURN TO THE BASE LEG. AT 1915:04, THE BOEING WAS CLEARED TO TAXI INTO PSN & HOLD, BUT BE READY FOR AN IMMEDIATE TAKEOFF. WHEN OTHER ACFT HAD CLEARED FROM THE RWY AT 1915:41, THE BOEING WAS CLEARED FOR TAKEOFF. THE BOEING IMMEDIATELY BEGAN TAKING OFF AT 1915:44 & THE CONTROLLER INSTRUCTED N92259 TO SQUARE HIS TURN TO FINAL APCH FOR SPACING & TO USE CAUTION FOR WAKE TURBU-LENCE. THE PLT STATED THAT HE LANDED APRX 90 SEC AFTER THE BOEING TOOK OFF. REPORTEDLY, N92259 LANDED ABOUT 1/4 OF THE WAY DOWN THE RWY; HOWEVER, THE ACFT TOUCHED DOWN HARD & BOUNCED 3 OR 4 TIMES, DAMAGING THE PROP, NOSE GEAR & FIREWALL. AFTER LANDING, THE ACFT ROLLED TO THE END OF THE RWY & THE PLT TAXIED TO THE PARKING AREA.