Waves and its Characteristics: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Waves and its Characteristics. Understanding the underlying formula is key to arriving at the correct answer below:

From the given wave equation $y = A\sin(kx - \omega t - \phi)$, we identify $k = 0.5\pi\text{ m}^{-1}$ and $\omega = 4\pi\text{ rad/s}$. The wave speed is given by $v = \omega/k = 4\pi / 0.5\pi = 8\text{ m/s}$.