A wave is modeled with the function

y$($x$,$ t$)=(0\mathrm{.}40$ m$)$sin$$

$0\mathrm{.}40$ m$1$ x $0\mathrm{.}20$ s$1$ t $+$

$5$

$.$

Find the following.

$($a$)$

amplitude $($in m$)$

m

$($b$)$

wave number $($in m$1)$

m$1$

$($c$)$

angular frequency $($in s$1)$

s$1$

$($d$)$

wave speed $($in m$/$s$)$

m$/$s

$($e$)$

phase shift $($in rad$)$

rad

$($f$)$

wavelength $($in m$)$

m

$($g$)$

period of the wave $($in s$)$