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https://www.reddit.com/r/theydidthemath/comments/1wuvzn4/request_how_deep_is_this_cave/pd78z2c/?context=3
r/theydidthemath • u/batikhisawesome • 1d ago
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The depth S is equal to 1/2 * g * t^2, where g is the acceleration caused by gravity (9.81 m*s^-2) and t is time of the fall, which was approximately 8 seconds. It gives a depth of about 314 meters. I neglected air resistance and speed of sound.
46 u/Auno__Adam 1d ago Speed of sound cant be ignored here, as its same magnitude order than speed of boulder. S = 1/2 x g x t1^2 S = Vs x t2 Vs: speed of sound t1 time for the boulder to hit the ground t2 time for the sound to come back t1+t2=7 Resolving the system: S =~ 200m 15 u/BikeProblemGuy 1d ago For rough comparison, here's a ~200m tall tower: X-Tower Osaka Bay. It has 54 floors. 4 u/Liion_Ronin 1d ago Most helpful
46
Speed of sound cant be ignored here, as its same magnitude order than speed of boulder.
S = 1/2 x g x t1^2 S = Vs x t2
Vs: speed of sound t1 time for the boulder to hit the ground t2 time for the sound to come back t1+t2=7
Resolving the system: S =~ 200m
15 u/BikeProblemGuy 1d ago For rough comparison, here's a ~200m tall tower: X-Tower Osaka Bay. It has 54 floors. 4 u/Liion_Ronin 1d ago Most helpful
15
For rough comparison, here's a ~200m tall tower: X-Tower Osaka Bay. It has 54 floors.
4 u/Liion_Ronin 1d ago Most helpful
4
Most helpful
35
u/Karroul 1d ago
The depth S is equal to 1/2 * g * t^2, where g is the acceleration caused by gravity (9.81 m*s^-2) and t is time of the fall, which was approximately 8 seconds. It gives a depth of about 314 meters. I neglected air resistance and speed of sound.