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## Homework Statement

A skier starts from rest at the top of a large hemispherical hill. Neglect friction and show that the skier will leave the hill becoming airborne at a distance of h=R/3 below the top of the hill. R is the radius of the hemispherical hill.

## Homework Equations

Conservation of energy, balancing of forces, centripetal force = m(v

^{2}/r)

## The Attempt at a Solution

I know this has to do with when the normal force becomes zero (or at least that's what I think). But I have no idea how to start this; can anyone point me in the right direction?