# A Series of Collisions

A ball of mass $$m$$ and velocity $$v$$ collides inelastically with an identical ball, coming to rest and imparting $$50$$% of its energy to the second ball. This ball then collides inelastically with a third identical ball, coming to rest and imparting $$50$$% of its energy to the third ball. What is the final velocity of the third ball?

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