Background
An instructor and a pilot-rated student were conducting instrument training. The reported weather included a vertical visibility of 200 feet and 1/4 mile visibility in fog.
First Approach
During the first instrument landing system approach, with the student at the controls, the runway was not visually acquired at the decision height. Consequently, a missed approach was performed.
Second Approach
For the second approach, the instructor took the controls and asked the student to monitor the radios and look for the runway environment. At 400 feet above ground level, the instructor saw the runway below, but noted that the airplane was "slightly high on the glideslope and a little fast." He elected to attempt a landing, reducing the throttle to idle and adding full flaps.
Accident
The airplane touched down long on the runway, and the instructor was unable to stop the airplane on the remaining runway. The airplane subsequently collided with a snow bank.
Damage
The collision resulted in structural damage to the fuselage.