A sinusoidal wave is described by the wave function,

y $=(0\mathrm{.}20$ m$)$ sin$(0\mathrm{.}10$x $33$t$)$

where x and y are in meters and t is in seconds. Determine the following for this wave.

$($a$)$ the amplitude

m

$($b$)$ the angular frequency

rad$/$s

$($c$)$ the angular wave number

rad$/$m

$($d$)$ the wavelength

m

$($e$)$ the wave speed

m$/$s

$($f$)$ the direction of motion

$+$x$$x$+$y$$y