That ball is gone!

Classical Mechanics Level pending

[For purposes of this calculation, assume that the escape velocity from Earth's surface is exactly 7 miles per second.]

"The pitcher looked at him and grinned, then heaved a mighty ball;

The echo of that fearful swat still lingers with us all.

High, fast and far the spheroid flew; it sailed and sailed away;

It ne'er was found, so it's supposed it still floats on today."

Assuming an exit angle of exactly 30 degrees [a line drive, not a pop fly], just how fast in miles per hour would the exit velocity off the bat have to be for the baseball to escape the Earth's gravitational pull?

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