CE560 FO REPORTS OVERFLYING ANOTHER ACFT ON THE OPPOSITE END OF THE RWY; DURING TKOF AT NIGHT USING CTAF COMMUNICATION PROCEDURES.

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THE TWR CLOSES EACH EVENING. THE AWOS REMARKS WERE TO USE TWR FREQ FOR CTAF AND PCL DURING HRS THE TWR WAS SHUT DOWN. WE AND ANOTHER ACFT HAD USED RWY 32 FOR LNDG ONLY ABOUT 1 HR BEFORE; SO WE PLANNED TO USE THE RWY 32 FOR DEP AS WELL. THE SKY WAS CLR; WINDS LIGHT AND VARIABLE; AND VISIBILITY UNLIMITED. I WAS THE FO AND WOULD FLY THE LEG FROM THE R SEAT. OUR PREFLT PREPARATIONS WERE THOROUGH AND UNHURRIED. AFTER ENG START WAS COMPLETED; THE CAPT ANNOUNCED OUR INTENTIONS TO TAXI TO RWY 32; THE SAME RWY WE HAD USED FOR LNDG. AT THE END OF RWY 32; I STOPPED THE ACFT. WE ENSURED OUR RWY ITEMS CHKLIST WERE COMPLETED AND WE BOTH VISUALLY CLRED THE RWY. THEN; THE CAPT ANNOUNCED OUR INTENTIONS TO TAKE OFF AND WE TAXIED ONTO THE RWY. THIS NEXT SEQUENCE OF EVENTS TOOK ONLY A FEW SECONDS; MUCH QUICKER THAN IT WILL BE TO READ THE REST OF THIS RPT. I ADDED PWR AND THE ACFT ACCELERATED RAPIDLY DUE TO ITS RELATIVELY LIGHT WT. AS WE ACCELERATED PAST THE '70 KT' CALLOUT; I NOTICED WHAT APPEARED TO BE A VEHICLE MOVING FROM R TO L IN THE DISTANCE. I COULD CLRLY SEE WHAT APPEARED TO BE A WHITE HEADLIGHT AND RED TAIL LIGHT. THE VEHICLE WAS NOT ON THE RWY BUT MOVING IN THAT DIRECTION. I CALLED OUT LOUD SOMETHING TO THE EFFECT 'IS THAT VEHICLE ON THE RWY?' AT ABOUT THAT TIME THE CAPT CALLED 'V1;' FOLLOWED SHORTLY BY 'ROTATE.' AS I RAISED THE ACFT'S NOSE; I COULD SEE THE VEHICLE WAS NOW MOVING ONTO THE RWY AND STARTING TO TURN TOWARDS US. AS WE PASSED OVER THE DEP END OF THE RWY AT ABOUT 200 FT AGL; I GLIMPSED DOWN AND SAW THAT THE 'VEHICLE' WAS ACTUALLY AN ACFT. HE APPEARED TO BE HOLDING IN POS BUT IT WAS ONLY A QUICK GLIMPSE. THE CAPT SAID IT WAS A FALCON. AS WE FLEW PAST; ONE OF THE FALCON PLTS CALLED OUT OVER THE RADIO SOMETHING TO THE EFFECT ABOUT OUR NOT MAKING RADIO CALLS. FOR OUR PART; WE RESPONDED THAT WE DID NOT HEAR THEIRS EITHER. SURPRISINGLY; SOMEONE FROM ARPT OPS THEN CHIMED IN AND AGREED WITH THE FALCON PLTS. I WOULD LIKE TO MAKE 2 POINTS VERY CLR ABOUT THE RADIO CALLS: I HEARD MY CAPT MAKE A CALL FOR TAXI AND THE CALL FOR TKOF AS WELL. I DID 'NOT' HEAR THE FALCON CREW. I DO NOT KNOW IF BY CHANCE WE WERE BOTH XMITTING AT THE SAME TIME AND THEREBY BLOCKING EACH OTHER'S CALL. DURING THE ENTIRE TAXI AND TKOF; I WAS MONITORING TWR FREQ ON MY VHF2; STANDARD PRACTICE FOR OUR COMPANY. NOTWITHSTANDING THE ISSUE OF RADIO CALLS; RWY 32 WAS CLR WHEN WE TAXIED ONTO IT AND STARTED OUR TKOF ROLL. MY ACFT WAS ON RWY 32 AND ROLLING AT HIGH SPD BEFORE THE OTHER ACFT TAXIED ONTO THE OPPOSITE END.