\(y = 10 \,sin \,(0.01\pi \,x\, - 2\pi \,t)\)
\(A = 10 \,cm, \, \omega = 2 \, \pi \)
\(\therefore A \omega = 2\, \pi \, \times \,10 \,= 63 \,cm/sec\)
$(a)$ $\left(x^2-v t\right)^2$
$(b)$ $\log \left[\frac{(x+v t)}{x_0}\right]$
$(c)$ $e^{\left\{-\frac{(x+v t)}{x_0}\right\}^2}$
$(d)$ $\frac{1}{x+v t}$