To calculate power output for lifting and flinging objects, the equation P = dW/dt is used, where work (W) must account for both the kinetic energy of the object and the gravitational potential energy when lifting. The initial calculations incorrectly omitted the vertical distance, which is crucial for determining the total work done. The work done to lift the object must be included alongside the work done to fling it at a specified speed. It is important to recognize that the force exerted is constant throughout the lifting process. Accurate power output calculations require considering both horizontal and vertical displacements.