The equation of a simple harmonic wave is given by \(y=3\sin \frac{\pi}{2}(50t-x)\) where \(x \) and \(y\) are in meters and \(t\) is in seconds. The ratio of maximum particle velocity to the wave velocity is:
1. | \(\frac{3\pi}{2}\) | 2. | \(3\pi\) |
3. | \(\frac{2\pi}{3}\) | 4. | \(2\pi\) |