Halliday, Resnick & Walker — Waves–I: Problem Problem_73

At time \(t = 0\) and at position \(x = 0 \text{ m}\) along a string, a traveling sinusoidal wave with an angular frequency of \(440 \text{ rad/s}\) has displacement \(y = +4.5 \text{ mm}\) and transverse velocity \(u = -0.75 \text{ m/s}\). If the wave has the general form \(y(x, t) = y_m \sin(kx - \omega t + \phi)\), what is phase constant \(\phi\)?