Question

A car drives over a hilltop that has a radius of curvature 120 m at the top of the hill. at what speed would the car be traveling when it tires just barely lose contact with the road when the car is at the top of the hill?

Answer 1

The speed of a car travelling over a hill that has a radius of curvature should not exceed a certain speed other it will topple. This speed is related to the radius of curvature and the gravitational acceleration as shown below:

V^2 = Rg, where V = maximum speed, R = Radius of curvature, g = gravitational acceleration.

Substituting;
V = Sqrt (Rg) =  Sqrt (120*9.81) = 34.31 m/s