The equations for two waves traveling along the same string are

\[f_{1}(x, t)=a \sin (b x-q t)\]

and

\[f_{2}(x, t)=a \sin \left(b x+q t+\frac{1}{3} \pi\right),\]

with \(a=3.00 \times 10^{-2} \mathrm{~m}, b=4 \pi \mathrm{m}^{-1}\), and \(q=500 \mathrm{~s}^{-1}\).

(a) Calculate the amplitude and wavelength of the resultant displacement of the string at \(t=3.00 \mathrm{~s}\).

(b) At \(t=1.70 \mathrm{~s}\), what is the displacement of the point on the string located at \(x=2.00 \mathrm{~m}\) ?