Suppose a wave is given by y$($x$,$t$)=5$ cos$(0\mathrm{.}2$t $-0\mathrm{.}3$x $+0\mathrm{.}25)$ with all quantities in MKS units. Determine the following in MKS units:

$($a$)$ amplitude $[$ Select $]$ ;

$($b$)$ phase shift $[$ Select $]$ ;

$($c$)$ wave number $[$ Select $]$ ;

$($d$)$ angular frequency $[$ Select $]$ ;

$($e$)$ frequency $[$ Select $]$ ;

$($f$)$ period $[$ Select $]$ ;

$($g$)$ wavelength $[$ Select $]$

$($h$)$ propagation speed $[$ Select $]$ ;

$($i$)$ transverse speed at x $=0,$ t $=0$: $[$ Select $]$