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I dont think he ever gets to the lettuce, just very

**close**to it. Is the limiting value of his average velocity instantaneous velocity? So basically as time increases, both his velocity and position decrease?

Thanks

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- Thread starter courtrigrad
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I dont think he ever gets to the lettuce, just very

Thanks

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jim mcnamara

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As the problem is stated, you are correct. The difficulty lies in accepting the premise that with each movement he gets one-half of the previous distance closer to the lettuce.

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Regards,

Nenad

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HallsofIvy

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courtrigrad said:

I dont think he ever gets to the lettuce, just verycloseto it. Is the limiting value of his average velocity instantaneous velocity? So basically as time increases, both his velocity and position decrease?

Thanks

Actually, the way this was phrased, it is

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NateTG

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HallsofIvy said:Actually, the way this was phrased, it isnotZeno's paradox! Here we are told the rabbit "moves half the remaining distance from his nose to a head of lettuce". It doesn't say the rabbit movesagain!

You are correct in that it is not Zeno's paradox, but the problem suggests that the rabit continues to move towards the lettuce - that's why it's "each" rather than "this" second.

The reason this is not Zeno's paradox is twofold - fundementally because the rabit is actually slowing down while, in Zeno's paradox, the rabit moves at a constant velocity, and, semantically, because we all know that Zeno's paradox is all about Achilees and a Tortise racing ;)

Regarding the original post:

The rabit does not get to the lettuce. Perhaps you could figure out how far from the lettuce the rabit is after 1 second, 2 seconds, 5 seconds, or x seconds? The rest of the post is a bit confused.

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HallsofIvy

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NateTG

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FluxCapacitator said:

Actually, in Zeno's paradox, the chaser catches up, and indeed passes, the chasee. The original question in this post relatively accurately describes the sort of situation that Zeno's paradox is conflating with constant velocity motion.

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