A bear falls into a well. The depth of the well is 19.617 meters, and it takes the bear 2.0000 second to reach the bottom of the well. What is the color of the bear?
People see this as some sort of failing of students but I think it says more about the teachers. You’ve overtrained students on problems that mean nothing to them, then you throw another nothing problem at them that’s simply three times as much nothing as the usual level of irrelevance.
Randall Monroe said it best: we should be teaching high school students how to split the bill for a birthday dinner. That’s more complicated math than most 20 year olds can correctly manage. It’s also what they’re going to do with math about 75% of the time.
Given the viscosity of air vs. water, one might assume there's no water in the well. Also, given some surface area of a bear, and air pressure from a cushion of air formed under the falling bear, the fall speed does seem a little high, at least for a calculation with that number of decimal places, but perhaps the well was located in the crust of the earth where gravity's a tad higher.
Living bears are also buoyant, and will be slowed down considerably on meeting the water, so the bear is unlikely to have reached the bottom of a water-filled well for a long period, if at all.
To answer OP, I'd say the bear is brown, because of the mud from the base of the (somewhat empty) well. However to an outside observer, given the lack of light in the well the shade of brown might not be discernable. A human in the well with the bear will see the colour of the bear as a low relative concern compared to A) being in a well and B) being in a well with a bear.
I think if a bear fell into a well, there would be friction between the bear and the side of the well...
https://chat.openai.com/share/67998d60-0f81-410e-ba8b-ec5a0f...
I find it interesting that it disregards the rest of the question, and just picks "the most common answer to a trick question involving the color of a bear"!
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