You are in charge of scheduling fireworks shows at sundown for $($a$)$ Fourth of July and $($b$)$ New

Year's Eve celebrations in Blacksburg $(37\mathrm{.}21N,80\mathrm{.}41W).$ Organizers want the first explosion to

occur at the exact minute of sunset and they wish to advertise this in their promotional

material. At what time will you be launching on each date? $[$Note: The events will occur during a

non$-$leap year, and in Blacksburg time zones are viewed as ridiculous...everyone simply follows

local solar time.$](20$ points$)$