Derivatives of Road Grade: Continuous or Not?

[Office_Shredder]

For reasons I cannot enumerate here it would be highly desirous if I knew the derivative of the grade of the road as a function of distance was continuous (differentiable would be even nicer) I don't suppose anybody knows what kind of regulations might exist for local or federal roads that would guarantee some kind of continuity condition on the grade of the road? The more I think about this the more I feel like it just isn't continuous. An example of such a road is a flat section, then a dip shaped like a cosine graph then a flat portion again

 

[collinsmark]

I take it you don't like speed bumps.

Pot holes are right out.

 

[lisab]

I take it you don't like speed bumps.

Pot holes are right out.

Asphalt discontinuities

 

[Ivan Seeking]

Hmmmm, this is a question for a roads scholar.