Automobile velocity on the bridge

[Juraj S]

Homework Statement

Automobile with m = 1000kg, traveling at v = 54km/h got to the bridge with curvature radius r = 50m. What is its velocity at the top of the bridge?

Homework Equations

The Attempt at a Solution

If this solution is correct, could you please explain to me how can this velocity be higher than the initial speed of the automobile?

 

[NascentOxygen]

Hi Juraj S.

What you have calculated is the maximum speed (at the bridge apex) before the car's wheels would lose contact with the road.

How high is the bridge?

Hint: is the car's gear stick in "neutral" for all the time the car is on the bridge?

 

[haruspex]

The question makes no sense, there is clearly not enough information. Even if we assume the car is in neutral, we've no way to determine the height of the bridge. Is this the whole problem, exactly as given to you?

 

[Juraj S]

That is exactly what I thought, that is why the solution I provided is the most I could come up with, so I guess the problem is incorrectly given because the info I provided is all I have available.