No, the superposition theorem is not directly applicable to the velocity of particles. The superposition theorem is a principle in physics that states that when two or more waves meet at a point in space, the resulting displacement of the medium at that point is the algebraic sum of the individual displacements caused by each wave.
However, velocity is not a directly additive quantity like displacement. Velocity is the rate of change of displacement with respect to time. When waves superpose, the resulting velocity of a particle at a given point is not simply the sum of the velocities of the individual waves.
The velocity of a particle in a wave is determined by the properties of the wave, such as its amplitude, frequency, and wavelength. These properties influence the motion of the particles in the medium through which the wave travels. The resulting velocity of a particle in a wave is a complex combination of the velocities associated with the individual waves, and it depends on factors such as the phase relationships between the waves and the characteristics of the medium.
In summary, while the superposition principle is applicable to the displacement of waves, it does not directly apply to the velocity of particles. The behavior of velocity in wave superposition is more intricate and cannot be determined solely by adding the velocities of the individual waves.