Solution:
Wave velocity is given by \(v = \frac{\omega}{k}\). From the wave equation, \(\omega = 4\pi\) and \(k = 0.4\pi\), which gives \(v = \frac{4\pi}{0.4\pi} = 10\text{ m/s}\).
If equation of a wave is given by \(y = 4\sin(0.4\pi x + 4\pi t + \frac{\pi}{3})\) where \(x\) and \(y\) are in m and \(t\) is in second.. Then the magnitude of wave velocity is
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