$[17$ pts$]$ Peak Discharge estimation $($SCS$-$TR$55)$: Two sites have an area of $5$ acres, a slope of $5\%,$ a slope length of $2000,$ and two different surface conditions; open space with good grass cover $)=(74$ and a parking lot $)=(98.$ Complete the table below using the data equations provided below.

$1m{i}^2=640$ acres, $1$ acre $=43560f{t}^2$

$t_c=\frac{L}{V}$ and $V=a*S^{\frac{1}{2}},S$ is in $f\frac{t}{f}t$ and $V$ is in $f\frac{t}{s}$

Estimate $($:$q_u(cf\frac{s}{m}\frac{i^2}{i}n)\}$ using equation below

$q_u={10}^{2\mathrm{.}46-0\mathrm{.}62**lo{g}_{10}(t_c)-0\mathrm{.}11**lo{g}_{10}(t_c^2)}$

Note: $t_c$ is in hours and $q_u$ is in $cf\frac{s}{m}\frac{i^2}{i}n$

$Q=\frac{(P-0\mathrm{.}2S{)}^2}{P+0\mathrm{.}8S}$ and $S=\frac{1000}{CN}-10$

$q_p=q_{u}AQ{F}_p,q_p=$ peak discharge $(cfs),q_u=$ the unit peak discharge in $cfs$ per inch of runoff per square mile $(cf\frac{s}{i}\frac{n}{m}{i}^2),A=$ drainage area in square miles $(1$ sq$.$ mile $=640$ acres$),Q=$ runoff in inches from $24hr$ storm $($effective rainfall$),F_p=$ ponding factor; $1$ acre $=43560f{t}^{2\text{;}}$;$1ft=12in$ Calculate $t_c,q_u,Q,$ and $q_p$ values for each site.

$\backslash$table$[[$site$,$Fp$,\backslash$table$[[$P$],[(in)$