The three equations of motion, known as the SUVAT equations, are applicable in scenarios with constant acceleration and relate position, velocity, and acceleration. It is not necessary for the body in question to be a point object; however, using non-point objects complicates calculations due to the need to account for the movement of different parts and potential rotation. While the SUVAT equations can be used for various objects, including rigid bodies, flexibility introduces additional complexity. Care must be taken when distinguishing between instantaneous and average velocities in problem-solving. Understanding these nuances is crucial for accurate application of the equations in physics.