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

y$($x$,$t$)=0\mathrm{.}330$ sin$$

$5$t $5$x $+$

$4$

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

speed m$/$sdirection$---$Select$---$positive x$-$direction$$positive y$-$direction$$positive z$-$direction$$negative x$-$direction$$negative y$-$direction$$negative z$-$direction

$($b$)$ What is the vertical position of an element of the string at t $=0,$ x $=0\mathrm{.}115$ m$?$

m