20230808010009I

The aircraft experienced a runway overrun after landing/touchdown. The flight instructor/pilot in command (PIC) reported that their intent was to touchdown within the first 1,000 feet of the 3,000-foot. While on final the PIC noticed that they were not descending enough to intercept the visual glide slope and initiated a forward slip. The PIC noticed the airspeed was a little higher than usual based on feel but was focusing on maintain visual alignment with the runway more than scanning the instruments and the pic’s plan of action was to bleed off the excess airspeed in ground effect utilizing aerodynamic braking. The PIC stated they had not prepared themselves for a go around and did not react quickly enough in the short seconds that followed and made the decision to put the aircraft on the ground and use maximum braking to finish slowing down. Upon touching down, the PIC concluded that the airspeed was not fast enough to accelerate and rotate before the end of the runway, and the airspeed was still too fast to slow down in the distance remaining which resulted in an overrun past the departure end of the runway causing the aircraft nose gear to collapse, nose to dig into the grass, and the propeller to strike the ground. Immediately after the event, the PIC reported on tower frequency that they tried to put the aircraft in idle and that it appeared there was a stuck throttle. During an interview, the PIC stated after evaluating what had occurred, there were no issues with the throttle.