The superposition theorem is primarily applicable to the linear addition of wave amplitudes or displacements, rather than velocities. It states that when multiple waves pass through the same region, the resultant displacement at any point is the algebraic sum of the individual displacements caused by each wave.
Velocity, on the other hand, is the rate of change of displacement with respect to time. It is not directly subject to linear superposition like displacement is. The velocity of a particle is determined by the dynamics of the system, including forces, accelerations, and interactions between particles or objects.
While it is possible to analyze the motion of a particle by considering the superposition of multiple individual velocities, the resulting velocity would not simply be the sum of the individual velocities. Velocity is influenced by factors beyond the simple addition of wave velocities.
Therefore, when dealing with velocities, it is generally not appropriate to apply the superposition theorem directly. Velocity is a vector quantity and should be considered in terms of its components and the underlying physical principles governing the motion, such as Newton's laws of motion or the principles of fluid dynamics, depending on the specific situation.