A car drives on a road which begins flat, then goes up and over the top of a hil

Question

A car drives on a road which begins flat, then goes up and over the top of a hill and then goes down into a dip and back up to level ground.

d. What is the minimum speed at the top of the hill (assuming R = 20 m here, too) for the car to leave the road?

1) 10 m/s
2) 12 m/s
3) 14 m/s
4) 16 m/s
5) 18 m/s

e. What is the acceleration of the car if it just begins to leave the road?

1) 0 m/s2
2) 4.9 m/s2
3) 9.8 m/s2
4) 14.7 m/s2
5) 19.6 m/s2

** Answer with brief explanations(such as what formula/equation used) please.?

Explanation / Answer

we have, a. mg = mv^2/R speec = v = 14 m/s b. a = v^2/R = 9.8 m/s^2

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