A car is travelling up one side of a hill and down the other side.The crest is a circular arc with radius of 45m. Determine the maximum speed that the car can have while moving over the crest without losing contact with the road.

1 answer

Contact will be lost if V^2/R > g
At higher V, gravity will not provide enough centripetal force to keep it on the road.

The maximum V that allows road contact is
when V^2/R = g

V = sqrt(gR)