Given,
The radius of the highway, r=489 m
The coefficient of the static friction, μ=0.600
The maximum safe speed for a vehicle when the road is not banked is given by,
[tex]v=\sqrt[]{rg\mu}[/tex]Where g is the acceleration due to gravity.
On substituting the known values,
[tex]\begin{gathered} v=\sqrt[]{489\times9.8\times0.600} \\ =53.62\text{ m/s} \end{gathered}[/tex]Thus the maximum safe speed for the car is 53.62 m/s