The transverse wave velocity below is
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Since velocity is the rate of change of position, the transverse velocity in the y direction is given by the derivative of the displacement with respect to time: v(x,t) = ∂y(x,t)/∂t = -Aω cos (k x - ω t + φ) where k = 2π/λ is called the wave number and ω = 2πf as before
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