A sinusoidal wave is described by the wave function,

y $=(0\mathrm{.}31$ m$)$ sin$(0\mathrm{.}18$x $45$t$)$ where x and y are in meters and t is in seconds. Determine the following for this wave.

$($a$)$ the amplitude

$($b$)$ the angular frequency

$($c$)$ the angular wave number

$($d$)$ the wavelength

$($e$)$ the wave speed