$(7$ pts$)$ A projectile is fired from ground level at an angle of ${}_0=35$ from the horizontal. It reaches its maximum $($peak$)$ height $y_p$ at time $t_p=1\mathrm{.}8s.$ What is the projectile's horizontal position $x$ at time $t=3\mathrm{.}1$ s$?$

A$)91\mathrm{.}8$ m

B$)37\mathrm{.}2$ m

C$)63\mathrm{.}4$ m

D$)78\mathrm{.}1$ m

E$)49\mathrm{.}6$ m