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

$($a$)$ What are the speed and direction of travel of the wave? $($b$)$ What is the vertical position of an element of the string at $=0,=0\mathrm{.}100?$ What are $($c$)$ the wavelength and $($d$)$ the frequency of the wave? $($e$)$ What is the maximum transverse speed of an element of the string?