The wave function for a traveling wave on a taut string is $($in SI units$)$

y$($x$,$t$)=0\mathrm{.}360$ sin$$

$12$t $2$x $+$

$4$

$($a$)$ What are the speed and direction of travel of the wave?

speed$6$ m$/$sdirection$$positive x$-$direction

$($b$)$ What is the vertical position of an element of the string at t $=0,$ x $=0\mathrm{.}200$ m$?$

$-0\mathrm{.}163$ m

$($c$)$ What is the wavelength of the wave?

$1$ m

$($d$)$ What is the frequency of the wave?

$6$ Hz

$($e$)$ What is the maximum transverse speed of an element of the string?

$13\mathrm{.}57$ m$/$s