In classical mechanics, acceleration can be determined from coordinates and velocities due to the relationship defined by the equations of motion, assuming the generalized force depends solely on these variables. The discussion highlights that this dependency is a fundamental aspect of classical mechanics, enabling the calculation of acceleration without needing additional information at a single point in time. Clarification is provided that the assumption about the generalized force is crucial for this determination. The conversation also references a related question about uniquely defined accelerations, emphasizing the importance of understanding these foundational concepts. Overall, the discussion aims to clarify the reasoning behind the relationship between coordinates, velocities, and acceleration in classical mechanics.