Physics/Motion/Mathmatics

This is merely a restatement of one of Xeno's paradoxes (Achilles & the tortoise). Aristotle addressed it rather well. A little elementary calculus will give you the real solution.

Really wasn't aware of Xeno's paradoxes...wasn't trying to stump anyone--was really looking for a plain english answer to a question--I can't answer...I didn't read the question anywhere, but am smart enough to know that I wasn't the first one to think of it. Again--just wondered if there was a plain english ( read non calculus) answer..

OK, without calculus -- consider the infinite series 1+ 1/2 + 1/4 + 1/8 + ....

This series has an infinite number of terms, each equal to 1/2 raised to an integer power.

The sequence of partial sums of the first N terms in this series gets closer to the number 2 as N inccreases, but never exceeds this value. In mathematical parlance the sequence is said "to converge" on the number , 2. Equivalently the infinite series above is said to equal two.

It is easy to visualize this on a number line.

Because you spend an infinitessimal amount of time at an infinite number of speeds. The real number system is continuous, and there is always a number between any two that you specify. So what?

I don't go from 100mph to 0. Instead I go from 100mph to full reverse (that is -100mph).

Now half way between betwen 100 mph and -100 mph is 0... so I just let it rest there.

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