The airplane sustained substantial damage when it impacted the terrain during initial takeoff climb. The certified flight instructor (CFI) reported that the student pilot, who had a total of one hour of flight time, was attempting to takeoff on the first takeoff of the second instructional flight. The CFI reported that the airplane became airborne and "yawed hard to the left" when the airplane was about 20 - 30 feet above ground level. The CFI reported that he took control of the aircraft, but the student pilot pushed hard on the right pedal while attempting to push himself back into his seat. The airplane lost altitude and impacted a ravine on the right side of the runway in a level attitude, perpendicular to the runway. After the airplane nosed over, the CFI and student pilot exited the airplane through the broken canopy.