A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of $89$ m$/$s$.$ At t $=0,$ the string particle at x $=0$ has a transverse displacement of $4\mathrm{.}4$ cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x $=0$ is $20$ m$/$s$.($a$)$ What is the frequency of the wave? $($b$)$ What is the wavelength of the wave? If the wave equation is of the form y$($x$,$t$)=$ ymsin$($kx$+/-$ wt $+$ phi$),$ what are $($c$)$ ym$,($d$)$ k$,($e$)$ w$,($f$)$ phi, and $($g$)$ the correct choice of sign in front of w$?$