A transverse wave is formed on a long skipping rope. The equation of the transverse wave is y $=5\mathrm{.}72$ sin$(0\mathrm{.}036$ x$+5\mathrm{.}73$ t$)$ where x and y are in centimeters, t is in seconds, and $$ is pi $(3\mathrm{.}14...).$

$($a$)$Find the amplitude of the wave. $5\mathrm{.}72$ cm

$(4$b$)$ What is the wavelength of the transverse wave? $5\mathrm{.}56101$ cm

$(4$c$)$ Find the frequency of the wave. $2\mathrm{.}87$ Hz

$(4$d$)$ Calculate the speed of the wave. $1\mathrm{.}59102$ cm$/$s

$(4$e$)$ Calculate the transverse displacement when x $=4\mathrm{.}0$ cm and t $=0\mathrm{.}28$ s$.$