# Gone Forever

I toss a stone at a velocity of $$14000 \text{ m/s}$$, and an angle chosen uniformly at random from the interval $$[0^\circ, 90^\circ]$$, above the horizontal. What is the probability that the stone will never return to Earth?

Details and Assumptions:

• $$g=9.8 \text { m/s}^2$$, radius of Earth 6371 km.

• Ignore other massive bodies, such as the sun.

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