A freeway has speed limit $65$ on its mainline. One of its exit ramps has a tight

loop with a radius of $380$ ft due to site constraints. Assume the superelevation of the ramp is

$0\mathrm{.}035.$ Determine the following:

$(1).$ How much speed would you recommend as speed limit on the exit ramp to ensure

safety?

$(2).$ How far back from the exit should drivers on the mainline begin to decelerate in order to

in order to use the exit safely? Assume the freeway is on $5\%$ downgrade.