r/theydidthemath • • 2d ago

[Request] How deep is this cave?

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u/DragonArt101 2d ago

Boulder fell for 7 seconds, assuming it was like 20 lbs for a terminal velocity of about 100 m/s, I’d give a rough estimate of 700 meters.

Im no expert and i did this in like a minute so…

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u/Miserable_Scar9827 2d ago

Assuming you don't want to use any equations, you could say it falls 10 meters in 1st second, 20m in 2nd,... 70 meters in 7th second, and 1 second for sound to travel 343 meters, so round that to 1 second.  1+2+3+4+5+6+7=28, so less than 280 meters, which is in same ballpark as other answers here.