Walker, Halliday & Resnick — Waves-I: Problem 57

57 A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 70 m/s. At t = 0, the string particle at x = 0 has a transverse displacement of 4.0 cm and is not moving. The maximum transverse speed of the string particle at x = 0 is 16 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If $y(x, t) = y_m \sin(kx \pm \omega t + \phi)$ is the form of the wave equation, what are (c) $y_m$, (d) $k$, (e) $\omega$, (f) $\phi$, and (g) the correct choice of sign in front of $\omega$?