Throwing cats out of windows

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别那么骄傲
别那么骄傲 2020-12-04 04:32

Imagine you\'re in a tall building with a cat. The cat can survive a fall out of a low story window, but will die if thrown from a high floor. How can you figure out the lon

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  •  被撕碎了的回忆
    2020-12-04 05:25

    Imagine you're in a tall building with a cat. The cat can survive a fall out of a low story window, but will die if thrown from a high floor. How can you figure out the longest drop that the cat can survive, using the least number of attempts?

    The best strategy for solving this problem is investigating, using the law of physics, the probability of your assumptions being true in the first place.

    If you would have done so, you'd realize that the cat's chances of survival actually increase the higher the distance to ground is. Of course, assuming you throw it from an ever higher building, such as the petronas towers, and not an ever higher mountain, such as the mount everest.

    Edit:
    Actually, you'd see an unfinished camel distribution.
    First, the probability of the cat dying is low (very low altitude), then it gets higher (low altitude), then again lower (higher altitude), and then again higher (very high altitude).

    The graph for the probability of cat dying as a function of altitude above ground looks like this:
    (finish at 3, because unfinished camel distribution)

    alt text

    Update:
    A cat's terminal velocity is 100 km/h (60mph) [=27.7m/s = 25.4 yards/s].
    Human terminal velocity is 210 km/h (130mph).[=75m/s = 68.58 yards/s]

    Terminal velocity source:
    http://en.wikipedia.org/wiki/Cat_righting_reflex

    Credits:
    Goooooogle

    I need to verify later:
    http://en.wikipedia.org/wiki/Terminal_velocity
    http://www.grc.nasa.gov/WWW/K-12/airplane/termv.html


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