Wave velocity:

$\overline{){\mathbf{v}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{f}}{\mathbf{\lambda}}}$

Is the velocity of the wave as it travels in space.

On the other hand, particle velocity is expressed as:

$\overline{){{\mathbf{v}}}_{{\mathbf{y}}}{\mathbf{=}}{\mathbf{A}}{\mathbf{\omega}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{(}}{\mathbf{k}}{\mathbf{x}}{\mathbf{\pm}}{\mathbf{\omega}}{\mathbf{t}}{\mathbf{)}}}$

and is the velocity of the particle as it vibrates about its equilibrium position.

Differentiate between wave velocity and particle velocity. Compare their directions for longitudinal as well as transverse waves.

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