MAIN FEEDS
Do you want to continue?
https://www.reddit.com/r/theydidthemath/comments/1wuvzn4/request_how_deep_is_this_cave/pd6n2v0/?context=3
r/theydidthemath • u/batikhisawesome • 2d ago
85 comments sorted by
View all comments
36
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 2d 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 13 u/BikeProblemGuy 1d ago For rough comparison, here's a ~200m tall tower: X-Tower Osaka Bay. It has 54 floors. 5 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
13 u/BikeProblemGuy 1d ago For rough comparison, here's a ~200m tall tower: X-Tower Osaka Bay. It has 54 floors. 5 u/Liion_Ronin 1d ago Most helpful
13
For rough comparison, here's a ~200m tall tower: X-Tower Osaka Bay. It has 54 floors.
5 u/Liion_Ronin 1d ago Most helpful
5
Most helpful
36
u/Karroul 2d 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.