#$3$ This graph shows the height versus time for the location $x=0$ as a transverse wave propagates through it$.$ For the given wave speeds and times, sketch the corresponding height$-$versus$-$location graph for all points of the medium. Explain how you determined your answer.

$($a$.)$ v$=5\frac{m}{s}$ and t$=1$s

$($b$.)$ v$=7\mathrm{.}5\frac{m}{s}$ and $t=2$s