INSTRUCTOR PLT; WITH NEW STUDENT PLT; OF A PIPER PA28-140 RAN OFF THE END OF THE RWY DURING LNDG DUE TO A HIGHER AND FASTER APCH THAN NORMAL. THE ACFT RECEIVED MINOR DAMAGE TO THE WING LEADING EDGES.

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I WAS THE PIC OF AN AIRPLANE WHICH RAN OFF THE END OF RWY 16 ON LNDG. AND WHILE I HAVE OVER 200 HRS IN PA28 TYPE AIRPLANES; I HAVE UNDER 10 HRS IN PA28-140'S. MY INEXPERIENCE WITH THE HAND BRAKE AS OPPOSED TO THE TOE PEDALS I AM USED TO; MAY HAVE BEEN A CONTRIBUTING FACTOR IN THE INCIDENT. ALSO; IT WAS AT THE END OF A LONG DAY OF FLYING WITH 5 DIFFERENT STUDENTS OVER 7 HRS THAT MORNING. A LITTLE BIT OF GET-THERE-ITIS MAY HAVE ALSO COME INTO PLAY SINCE THIS WAS TO BE MY LAST FLT OF THE DAY. THE MAJOR CONTRIBUTING FACTOR; HOWEVER; HAD TO BE MY HIGH AIRSPD ON FINAL AND OVER THE THRESHOLD. I WAS ABOUT 10 KIAS FASTER THAN NORMAL; AND ALSO A BIT HIGH WHEN I TURNED FINAL. I USED A SLIP TO DSND AND GOT DOWN TO A DECENT ALT OVER THE THRESHOLD; HOWEVER; I WAS TOO FAST AND SHOULD HAVE GONE AROUND TO TRY AGAIN. I DIDN'T AND FLOATED HALF-WAY DOWN THE RWY. THIS LED TO MY RUNNING OFF THE END OF THE RWY AND COMING TO A STOP APPROX 250 FT BEYOND THE END OF THE RWY. NEITHER MY STUDENT; NOR I; WERE INJURED IN ANY WAY. I WAS PERFORMING THE LNDG SINCE IT WAS ONLY MY STUDENT'S SECOND FLT WITH ME. THE WINGS WERE THE ONLY PORTION OF THE ACFT THAT WERE DAMAGED IN ANY WAY. THERE ARE SOME SIGNIFICANT DENTS ON EACH LEADING EDGE. IF I WOULD HAVE GONE AROUND; EVEN AS LATE AS HALFWAY DOWN THE RWY RIGHT BEFORE TOUCHDOWN; ANY AND ALL INCIDENT(S) COULD HAVE BEEN AVOIDED. THIS IS DEFINITELY THE GREATEST LEARNING EXPERIENCE OF MY CAREER AND WILL HOPEFULLY NOT KEEP ME FROM MOVING ONWARDS AND UPWARDS IN AVIATION.