Laura cleaned $78$ kg$.$ In a power clean, the barbell is moved from a stationary position on the floor to a stationary position at the athlete$$s chest. Only $0\mathrm{.}46$ s elapsed from the first movement of the barbell until it was at chest level, and the barbell moved through a vertical displacement of $1\mathrm{.}4$ m$.$ What was Laura$$s average power output during the lift?