Consider the traveling wave in the adjoining Figure $1.$

Figure $1$: Traveling wave $y(x,t)$ plotted as a function of $x$ at $t=0s.$

$($a$)$ What are the amplitude, wavelength, wave number, frequency, period, angular frequency and

phase constant of this traveling wave?

$($b$)$ Write out the equation of the traveling wave.

$($c$)$ Sketch the wave in the empty graph provided, at $t=\frac{1}{6}=0\mathrm{.}166s.$ Make sure the minima,

maxima and weros are at the correct $x$ value.

Figure $2$: Sketch the traveling wave $y(x,t)$ as a function of $x$ at $t=\frac{1}{6}s.$