A wave is described by y $=0\mathrm{.}0210$ sin$($kx $-$t$),$ where k $=2\mathrm{.}06$ rad$/$m$,=3\mathrm{.}70$ rad$/$s$,$ x and y are in meters, and t is in seconds.

$($a$)$ Determine the amplitude of the wave.

m

$($b$)$ Determine the wavelength of the wave.

m

$($c$)$ Determine the frequency of the wave.

Hz

$($d$)$ Determine the speed of the wave.

m$/$s