For a particular transverse wave that travels along a string that lies on the x$-$axis, the equation of motion is:

y $=(0\mathrm{.}0500$ m$)$ cos

$(50\mathrm{.}0$ rad$/$s$)$t $(0\mathrm{.}200$ m$1)$x

$.$

$($a$)$ Determine the wave's amplitude, wavelength, and frequency.

amplitude$$ m wavelength m frequency$$ Hz

$($b$)$ Calculate the speed of the wave.

m$/$s

$($c$)$ Calculate the tension in the string, if the string has a mass per unit length of $0\mathrm{.}0500$ kg$/$m$.$

N

$($d$)$ In which direction is the wave traveling?

in the negative x$-$directionin the positive x$-$direction$$ neither: the wave is a standing wave

$($e$)$ Calculate the maximum transverse speed of a point on the string.

m$/$s

$($f$)$ Calculate the displacement $($in other words, the y$-$value$)$ of a point at

x $=1\mathrm{.}00$ m

when

t $=6\mathrm{.}00$ s$.$

m