Flight Instructor reported a NMAC with another aircraft while on final approach during a training flight with a student.
Synopsis
Flight Instructor reported a NMAC with another aircraft while on final approach during a training flight with a student.
Narrative
A student solo pilot at a local flight school at ZZZ did not have clearance to turn base for runway XXR at ZZZ. My student was flying Aircraft X on a 3-mile final. At 2-1 nm remaining I noticed Aircraft Y turning base and descending straight toward us. Aircraft Y was coming at us incredibly fast. We were slowing to 65 knots to configure to land. The ZZZ Tower Controller did not intervene. The Tower Controller should have told Aircraft Y to continue downwind as they were not cleared to turn base or land. The Tower Controller did not realize that this was happening and I took to preventative action. I was forced to nose-dive us toward the ground to maintain limited visual separation from both Aircraft Y and the ground. I descended to approximately 100 agl above houses and trees to avoid being t-boned by Aircraft Y; which came less than 50 ft from hitting us. I had about 3 seconds to prevent the accident from happening. My student was flying Aircraft X at the time; it was their 3rd flight ever. As this was happening; I called on Tower frequency 'Aircraft X; there's traffic right on top of us. The Tower Controller then told Aircraft Y to go around. Aircraft Y did not immediately go around and continued to descend for another 5-10 seconds. Another instructor from my school was holding short of XXR in the Runup and watched it all happen from the ground. After landing; I contacted Tower on frequency to notify them how serious the near miss was. I told them: 'the near miss was less than 50ft from hitting us. This forced us to nose dive toward the ground.' The Tower Controller replied; 'roger; what was the tail number of the aircraft?' I told them Aircraft Y; which is from a local flight school. The pilot of Aircraft Y then responded: 'I went around'; demonstrating they did not comprehend the severity of the situation. I reported this with my school; and called the other school and left a message. I later called the Tower directly after landing; and they notified me that the student's instructor called to apologize to Tower."
Second reporter narrative
At around XA:00 I was on the upwind for XXR. ATC asked to change to runway XXL. I told them I was unable. (Club rules no solo student pilots are allowed to do pattern work on XXL). I was then told to continue my right closed traffic on XXR. I flew my downwind and started descending abeam my touchdown point. Before turning base; I always look for traffic on final or base to follow. I did not see any so I turned base. I was cleared for the option number 2 following an aircraft on final. I repeated my landing clearance back to ATC and told them that I did not have the traffic in sight. I had to turn final so that I did not interfere with the approach for XXL. ATC told me to go around so I climbed and offset to the north.
Source: NASA Aviation Safety Reporting System (public domain). Reports are voluntary submissions and are not verified by NASA.