What happened
Following a dual instructional session, a flight was returning to its home base. The student pilot was operating the aircraft when the final approach became too low and fast. In response, the Certified Flight Instructor (CFI) took control of the aircraft and performed a go-around, subsequently reentering the traffic pattern.
After explaining the errors made during the initial approach, the CFI returned control to the student. However, during the subsequent final approach, the aircraft's airspeed remained too high. Approximately 1/4 mile from the runway approach end, the CFI again assumed control of the aircraft but did not initiate a second go-around.
Instead, the CFI reduced throttle and landed the aircraft at a high airspeed. The aircraft touched down and traveled approximately 1/3 beyond the end of the runway. While attempting to stop, the aircraft exited the runway surface and collided with a ditch. There were no injuries reported.
According to the instructor, the aircraft landed with an effective direct tailwind of 6 knots; however, approach control records indicated that surface winds were a left quartering headwind.