posted by modiri .
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.
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)