A car maintains a constant speed v as it traverses the hill and valley shown if Fig.

Question:

A car maintains a constant speed v as it traverses the hill and valley shown if Fig. 5-45. Both the hill and valley have radius of curvature R.
(a) How do the normal forces acting on the car at A, B and C compare? (Which is largest Smallest?) Explain.
(b) Where would the driver feel heaviest Lightest? Explain/
(c) How fast can the car go without losing contact with the road at A?