Thanks for all the replies.

I originally came across this VSauce episode which inspired my interest in building a skateable version.
https://www.youtube.com/watch?v=skvnj67YGmw

@Bemfarmer here are the rules guiding the curve(shown in red but not accurate).
Basically point A needs to be tangent to ground plane and the height of point B needs to be 5 feet or so but cannot go beyond vertical(ideally 70-80 degrees).