A wave traveling along a rope is described by [y(x, t)=(2.0 mathrm{~mm}) sin left[left(4.0 mathrm{~m}^{-1} ight) x-left(3.0

A wave traveling along a rope is described by

\[y(x, t)=(2.0 \mathrm{~mm}) \sin \left[\left(4.0 \mathrm{~m}^{-1}\right) x-\left(3.0 \mathrm{~s}^{-1}\right) t\right]\]

(a) Calculate the amplitude, wavelength, frequency, period, and speed of the wave.

(b) Compute the \(y\)-component of the string from the equilibrium at \(x=0.30 \mathrm{~m}\) and \(t=1.20\) s.