$1)$ In the horizontal curve redesign example discussed in class $($Example $2),$ consider the

following scenario: $[20$ points$]$

A steady rainfall has caused subsidence of the roadside slope, leaving only $8$ feet from the edge

of the roadway. Based on this, you are required to:

a$.$ Calculate the new $($Ms$).$

b$.$ Recalculate the SSD $($Stopping Sight Distance$).$

c$.$ Determine the new design speed that can be supported by the current conditions.

d$.$ How much banking$($superelevation$)$ do you need to support this new design speed, or do

you need to increase $$e$?$

e$.$ If the station of the PC is at $10+00,$ compute the station of the PT and the station of the PI

Note: $\backslash$Delta $=40\backslash$deg