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Will somebody care to explain how "0.99999999..." is "1" in the real world and under what circumstances?
Always. They're different representations of the same number.
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The explanation about there being a limit is mute as there is no observable limit between "0.99999999999999..." and "1".
You don't understand the use of 'limit' here. (Or that it's "moot", not "mute"). The limit of 0.99999... as you add on more '9's is 1. Of course there isn't anything between 0.999999.... and 1 because they're the same number.
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If you have to be precise, and in this case we must be, there can be 0.999999...m/sec or 1.0000... m/sec but not 1m/sec.
Because 0.99999... is an infinite decimal, it has the same infinite precision as 1.0. Even if they weren't the same number they'd be equally "impossible".
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