Question: A string vibrates in a standing wave according to the function [f(x, t)=a sin (b x) cos (q t),] with (a=6.00 times 10^{-2} mathrm{~m}, b=frac{1}{3}

A string vibrates in a standing wave according to the function

\[f(x, t)=a \sin (b x) \cos (q t),\]

with $a=6.00 \times 10^{-2} \mathrm{~m}, b=\frac{1}{3} \pi \mathrm{cm}^{-1}$, and $q=40 \pi \mathrm{s}^{-1}$. What are the amplitude and wave speed of each of the component waves that form this standing wave?

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