The equations for uniformly accelerated motion, such as Vf = V0 + at and D = (1/2)(V0 + Vf)t, are valid under certain conditions, primarily when acceleration is constant. Concerns about their applicability over long distances often stem from the assumption that acceleration may change or that external forces become significant. The definition of "long" distance is subjective and can vary based on the context of the motion being analyzed. In many practical scenarios, these equations can still provide accurate results even over extended distances, as long as the assumptions hold true. Understanding the limitations and conditions of these equations is crucial for their correct application in physics.