Painting a Dome with rollerskates

[~christina~]

http://img119.imageshack.us/img119/1756/72948630sr0.png

Your saying that these 2 angles are the same? (yellow line)

I was referring to the initial velocity after leaving dome

 

[rl.bhat]

Yes. They are the same. Tangent to the dome is the initial velocity v. Later on it acts like a projectile and falls freely under gravity.
The final vertical height that the person leaves the dome is ..h = R/3

 

[~christina~]

Ok then. That was my only confusion I think.

Thank You