Skyhawk 172/Cutlass 172
Flight Crew Flight Instructor; Flight Crew Instrument; Flight Crew Commercial
Flight Crew Last 90 Days 140; Flight Crew Type 1300
Communication Breakdown; Situational Awareness; Confusion
Conflict Ground Conflict; Critical; Deviation / Discrepancy - Procedural Published Material / Policy; Ground Incursion Runway
Flight Crew Took Evasive Action
Human Factors
Student and I were on an IFR flight plan and was cleared to depart. We pulled up to runway XX cleared base and final and entered runway. We powered in and accelerated. Airspeed came alive and we called it. Just around rotation speed we noticed a low wing [aircraft] moving at a good pace on [an intersecting] taxiway. Part of me was hoping he was going to stop. He didn't. At that time I knew we were committed and allowed student to rotate. I did command him to push forward right after rotation preventing him from pulling up aggressively into a power stall. As we crossed bravo taxiway on our runway XX he was directly below us with only 25 feet separation. As we climbed I calmly smirked on radio 'Oh look at the little plane on our runway'. Someone else on the field saw the situation and called out the runway incursion and will get the tail number. As we were about to switch over to approach that person in the plane finally announced on the radio 'I suppose I owe you an apology and a new pair of shorts.' We weren't amused.I feel that continuing the rotation was warranted as we had airspeed and the accurate stop at that point would have ended in collision. There was very little time to react to his crossing anytime earlier due to his forward speed. There was no radio calls by him nor stopping to check for traffic departing the runway. Zero situational awareness.Prevention could be better non towered training with communications; looking out. Especially with crossing runways and taxiways.
GA flight instructor reported a ground conflict on takeoff from a non-towered airport when an aircraft crossed unannounced.