CFII AND STUDENT ABOARD C172 RUN OFF THE END OF THE RWY FOLLOWING AND UNSTABILIZED APCH OUT OF A NON PRECISION APCH.

Narrative

ON AN IFR TRAINING FLT; OUR C172R WENT OFF THE END OF THE RWY. WE WERE CONDUCTING THE LDA APCH INTO ZZZ; WE BROKE OUT OF THE CLOUDS ABOUT 10 SECONDS PRIOR TO REACHING THE MDA. WE CAME IN HIGH ON THE APCH AND LANDED LONG MIDFIELD. THE ACFT WAS WELL ABOVE ITS LNDG SPD WHEN WE CAME DOWN THE RWY. CONDITIONS BEING WET DID NOT ALLOW US TO USE MAX BRAKING. WE ROLLED ONTO THE GRASS AT THE RWY END AT 5 KTS OR LESS AND CAME TO A STOP NO MORE THAN 5 FT PAST THE END OF THE RWY. WE TURNED AROUND AND TAXIED BACK ONTO THE RWY AND GOT OFF ON TXWY. THE GRASS AT THE END OF THE RWY WAS AT THE SAME LEVEL AS THE RWY ITSELF; SO THERE WAS NOT EVEN A BUMP AS WE CAME TO A STOP. WE WERE ON CTRLINE SO THERE WERE NO LIGHTS IN THE PATH AS WE CROSSED OVER. THERE WAS NO DAMAGE TO OUR ACFT OR TO THE RWY AND ARPT PROPERTY. THE MAIN REASON I BELIEVE THIS OCCURRED WAS A BAD JUDGEMENT CALL MADE AT THE TIME WHEN WE SAW THE ARPT. ALTHOUGH WE HAD THE ARPT IN SIGHT; WE WERE NOT CONFIGURED PROPERLY TO MAKE THE LNDG; SPD AND ALT WERE HIGH. WE SHOULD HAVE CONDUCTED A MISSED FROM THAT POINT. THAT BAD DECISION TO CONTINUE WAS THE PRIMARY CAUSE IN MY MIND. SUPPLEMENTAL INFO FROM ACN 789517: AS WE SWITCHED OVER TO TWR; INSTRUCTOR MENTIONED THAT APCH HAD DUMPED US ONTO THE APCH A LITTLE FAST; BUT THAT WE COULD EASILY MAKE CORRECTIONS. I THOUGHT THAT WE WERE A LITTLE HIGH AND MENTIONED TO HIM THAT WE SHOULD MAYBE DO A MISSED APCH. INSTRUCTOR STATED THAT WE COULD STILL MAKE THE LNDG AND ADVISED ME TO PUT THE ACFT IN A SIDESLIP ALL THE WAY TO THE POINT TO WHERE WE BEGAN OUR FLARE; WHICH ENDED UP PUTTING US 1/2 WAY DOWN THE RWY. I RECEIVED A PHONE CALL FROM FLT SCHOOL MGR ASKING IF WE COULD MEET. I SAID SURE; AND WENT DOWN TO THE FLT CTR TO SEE HIM. IN HIS OFFICE; I GAVE HIM MY STATEMENT OF WHAT HAPPENED.