Problem $1$: $(2$ points$)$

A major arterial roadway project runs through an urban area. The roadway will use SE$.$ The design speed is $35$ mph and

e max is $4\%.$

a$)$ Determine the SE needed for a curve with R $=1000$ ft$.$

b$)$ Determine the minimum radius for a curve with e $=3\mathrm{.}6\%$