# Duck, incoming rock!

You tie a $$1~\mbox{kg}$$ mass to the end of a $$1~\mbox{m}$$ long string. The string has a breaking tension of $$200~\mbox{N}$$ and you swing it in a vertical circle faster and faster. At the very bottom of one swing the string breaks and the mass flies off horizontally from a height of $$1~\mbox{m}$$. How far has the mass gone horizontally in meters when it hits the ground?

Details and assumptions

• The acceleration of gravity is $$-9.8~\mbox{m/s}^2$$.
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