Luckily Max is able to avoid a collision, but he has now realized he's in the wrong city, the next Formula $1$ Grand Prix is in Italy! He needs to make the turn off of I$-95$ onto SR$-112$ to get to the airport, and wants to do so at the maximum speed possible. Because it's in an urban area the ramp from I$-95$ to SR$-112$ has a superelevation rate of $0\mathrm{.}08,$ the curve has a generous radius of $450$ feet. With the Formula $1$ car's aerodynamic components it's able to have a much higher coefficient of sid$$ friction of $1\mathrm{.}4$ if going between $60$ and $120mph$ and $1\mathrm{.}8$ if going $120$ to $180mph.$ What is the maximum speed $($to the nearest $mph)$ that Max could drive on the curve?