Problem # p027 |

**2-D motion, Normal-Tangential Coordinates**

A car is travelling at constant velocity y = c · x^{2} c = 0.02 m^{-1} |

- Determine the radius of curvature at the top of the hill (x=0).
- What is the value of the tangential and normal acceleration at the
moment the car reaches the very top of the hill (x=y=0) ?
- How big is the force of the road onto the car if the car has
a
**mass of 1000 kg**and is at the very top of the hill ? ( assume zero friction, g=9.81 m/sec² ) - What is the maximum velocity the car can travel without loosing contact
with the road ?