Two sinusoidal waves with the same amplitude of $9\mathrm{.}02$ mm and the same wavelength travel together along a string that is stretched along an $x$ axis. Their resultant wave is shown twice in the figure, as valley A travels in the negative direction of the $x$ axis by distance $d=58\mathrm{.}0cm$ in $8\mathrm{.}0$ ms $.$ The tick marks along the axis are separated by $11$ cm $,$ and height $H$ is $8\mathrm{.}1$ mm $.$ Let the equation for one wave be of the form $y(x,t)=y_{m}sin(kx+-t+{}_1),$ where ${}_1=0$ and you must choose the correct sign in front of $.$ For the equation for the other wave, what are $($a$)y_m,($b$)k,($c$),($d$){}_2,$ and $($e$)$ the sign in front of $?$

$($a$)$ Number $$ Units

$($b$)$ Number $$ Units

$($c$)$ Number $$ Units

$($d$)$ Number $$

i $$ Units $$

$($e$)$