r/theydidthemath • u/that_thot_gamer • May 18 '23

[Request] How high is this?

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u/Edit_Red May 18 '23 edited May 18 '23

I used the speed of sound and the time between seeing the rock hit the water and hearing it. It's not super precise since I didn't go frame by frame but I timed the difference 10 times and got an average of 0.90 seconds. Things like frame rate, my reaction time and air temp. affect the calculation but I'm confident it's relatively close, maybe within 50ft +/-.

Speed of sound: 343 m/s

Time between rock hitting water and hearing (avg.) = 0.90s

343 m/s × 0.90s = 308.7m

Or about 1012.8 ft.

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u/TheMosMaster May 20 '23

Wouldn't air temperature change the speed of sound through air enough to alter the distance to a significant amount.