A $150m$ long surface vessel with a speed of $40k\frac{m}{h}$ is modeled at a scale of $1$:$50.$ Similarity

based on Froude numbers is appropriate for the modeling of surface vessels, so the model

should travel at a speed of most nearly

$($A$)0\mathrm{.}22\frac{m}{s}$

$($B$)1\mathrm{.}6\frac{m}{s}$

$($C$)2\mathrm{.}2\frac{m}{s}$

$($D$)16\frac{m}{s}$

Stormwater flows through a square concrete pipe that has a hydraulic radius of $1m$ and an

energy grade line slope of $0\mathrm{.}8.$ Using the Hazen$-$Williams equation, the velocity of the water is

most nearly

$($A$)22\frac{m}{s}$

$($B$)44\frac{m}{s}$

$($C$)66\frac{m}{s}$

$($D$)98\frac{m}{s}$