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The document explicitly states: 'y(x,t) is the particle velocity. This is different from the wave velocity, v. The particle velocity is the velocity say, of a particle of a rope on which there is a transverse wave. The particle moves up and down vertically while the wave travels down the rope.' The wave velocity describes how fast the energy or the disturbance propagates through the medium, while particle velocity describes the motion of individual particles of the medium.