Skyhawk 172/Cutlass 172
Flight Crew Commercial; Flight Crew Flight Instructor; Flight Crew Instrument; Flight Crew Multiengine
Flight Crew Last 90 Days 80; Flight Crew Total 600
Communication Breakdown
Conflict NMAC
Air Traffic Control Provided Assistance; Flight Crew Took Evasive Action
Human Factors
We were cleared for the option number 2 behind another C172. King Air failed to contact Tower promptly at hand off from Center; claimed they were given the wrong frequency. We; myself and the student; didn't see the King Air when we turned final. Would have been at our 3 o'clock.As aircraft on the runway in front of us missed Taxiway; Tower instructed us to go around. After we initiated the go around we were instructed to stay low as King Air was behind/above us. We never saw the King Air until we were cleared to climb up to pattern altitude and the King Air had landed after making a left turn to base and final.Observer on the ground estimated clearance less than 100 feet.
Flight instructor reported they took evasive action to avoid mid air collision while on go-around.