# String, bob and a circle!

The upper end of the string of a simple pendulum is fixed to a vertical $$z$$-axis,and set in motion such that the bob moves along a horizontal circular path of radius $$2\text{ m}$$, parabola to the $$xy$$ plane, $$5\text{ m}$$ above the origin. The bob has a speed of $$3 \text{ m/s}$$.The string breaks when the bob is vertically above the $$x$$-axis, and lands on the $$xy$$ plane at a point $$(x,y)$$.

Find $$x+y$$.

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