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?