INSTRUCTOR AND STUDENT PLTS ABOARD C172 MUST REJECT TKOF AT F45 FOR TAXIING P180 THAT CROSSES THEIR RWY DESPITE CTAF CALLS ADVISING HIM TO HOLD SHORT.

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A STUDENT PLT AND I (CFII) WERE PRACTICING SHORT AND SOFT FIELD TKOFS AND LNDGS AT NORTH PALM BEACH COUNTY ARPT (F45) ON RWY 8R IN A CESSNA SKYHAWK C172S; AND MONITORING/COMMUNICATING ON F45'S CTAF. STUDENT PLT IS HOLDING SHORT OF RWY 8R AND MAKES A RADIO CALL THAT HE IS DEPARTING RWY 8R. AT THE SAME TIME; A PIPER NAVAJO PA31-350 WAS IN THE RUN-UP AREA FOR RWY 8R PREPARING FOR DEP AND MONITORING F45'S CTAF. THE STUDENT TAXIES TO THE EXTREME END OF RWY 8R; STOPS THE ACFT ON THE CTRLINE OF RWY 8R IN PREPARATION TO PERFORM A SHORT FIELD TKOF. AT THE SAME TIME THE PIAGGIO P-180 IS TAXIING FROM THE RAMP TO RWY 8R FOR DEP; ON TXWY F; HEADING S NEAR THE INTXN OF TXWYS K AND F. MY STUDENT HOLDS THE BRAKES; APPLIES FULL THROTTLE AND BEGINS HIS ROLL DOWN RWY 8R. AS THE SKYHAWK BEGINS ITS ROLL; PIAGGIO TAXIES PAST THE INTXN OF TXWYS K AND F STILL ON TXWY F HEADING FOR THE INTXN OF TXWY F AND RWYS 8R/26L. BOTH MY STUDENT AND I NOTICE THE PIAGGIO'S LOCATION AND DIRECTION OF TRAVEL. OVER THE RADIO; I ANNOUNCE THAT WE ARE ROLLING DOWN RWY 8R. THE PIAGGIO CONTINUES TAXIING ON TXWY F. OVER THE RADIO; I ORDER PIAGGIO 'STOP YOUR ACFT; THERE IS A CESSNA SKYHAWK DEPARTING ON RWY 8R!' THE PIAGGIO CONTINUES TAXI AND TAXIES ONTO RWY 8R/26L WITHOUT MAKING ANY RADIO CALL. PIAGGIO THEN TURNS R/W FACING DEPARTING SKYHAWK. I THEN TAKE COMMAND OF THE SKYHAWK; ANNOUNCE ABORTING TKOF OVER THE RADIO; AND STOP THE SKYHAWK ON THE RWY APPROX 1000 FT FROM PIAGGIO. THE NAVAJO THEN QUERIES THE PIAGGIO IF HE IS ON FREQ; BUT THERE IS NO RESPONSE FROM THE PIAGGIO. THE PIAGGIO THEN EXITED THE RWY AT THE INTXN OF RWYS 8R/26L AND 13/31. AT THE SAME TIME; I TAXI THE SKYHAWK DOWN THE RWY 8R AND EXIT THE RWY ON TXWY E WHICH IS APPROX 100 FT BEFORE THE INTXN OF RWYS 8R/26L AND 13/31. PIAGGIO TAXIES PAST SKYHAWK ON TXWY K ENRTE TO THE RUN-UP AREA FOR RWY 8R. I TAKE DOWN THE PIAGGIO'S TAIL NUMBER AND NOTE THE TIME. I THEN CALL THE PIAGGIO AND INFORM PLT THAT WE WILL BE RPTING THE INCIDENT; TO WHICH THE PIAGGIO'S ONLY RESPONSE IS 'ROGER.' SKYHAWK TAXIES BACK TO RAMP AND PARKS ACFT. THE PIAGGIO DEPARTS F45 USING RWY 8R. I SECURE SKYHAWK; NOTE FLAT SPOTS ON SKYHAWK'S MAINS; IMMEDIATELY RPT THE RWY INCURSION TO THE CHIEF PLT; AND BEGIN WRITING A RPT.