A car takes a banked curve whose radius is $150$ m $.$ The angle of the bank is $18$ and the coefficient of static friction between the tires and the surface of the road is $0\mathrm{.}3.$ Find the maximum and minimum speeds for the car such that it stays on the road without skidding

Circular motion up or down the bank turn.

ANS: $V_{\text{m}\text{i}\text{n}}=5\mathrm{.}8\frac{m}{s}$ and $V_{\text{m}\text{i}\text{n}}=32\frac{m}{s}$