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Originally Posted by TXMike
I believe this was a foul and do not question that Just trying to be straight on the math. Wouldn't the ball go up faster than it comes down, i.e. it would have to be moving faster than gravity in order to continue upwards?
Therefore, shouldn't the equation take that into account?
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The concept you're thinking about is
"escape velocity": in order to continue upwards - in effect, "faster than gravity" as you put it.
To esacpe the effect of earth's gravitational pull, and enter orbit, an escape velocity of 11.2 km/s is required. This is the same as almost 7 mi/s, or 37,000 ft/s, according to Google calculator.