16.5 Exercise 7

Consider two sinusoidal sine waves traveling along a string, modeled as $y_{1} \left(x , t\right) = 0.3 \text{m} \text{sin} \left(4 \text{m}^{−1} x + 3 \text{s}^{−1} t + \frac{\pi}{3}\right)$ and $y_{2} \left(x , t\right) = 0.6 \text{m} \text{sin} \left(8 \text{m}^{−1} x - 6 \text{s}^{−1} t\right) .$ What is the height of the resultant wave formed by the interference of the two waves at the position $x = 1.0 \text{m}$ at time $t = 3.0 \text{s}?$