# In the given prog

Equation for a progressive wave y = 5sin(100πt-0.4πx)

Comparing the equation with the general displacement equation for a progressive wave,

we have

(a) Amplitude A = 5 m

(b) k = 0.4π. k is given by the relation

where λ is the wavelength. Therefore for k = 0.4π we have

(c) The angular frequency ω = 100π. The angular frequency is given by,

where f is the frequency of the wave.

(d) The wave velocity is given by the relation,

(e) Differentiating the given equation with respect to t we get the equation for particle velocity, i.e.

Therefore, the amplitude particle velocity is given by

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