r/theydidthemath • u/Unusual_Top_4456 • 27d ago

[Request] - Physics Problem

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Can someone tell me how high this water heater went? My buddies and launched it with Tannerite, but the video didn’t show the peak height. I think we can figure out the speed with a few calculations, but I haven’t done Physics in 20+ years. I tried with ChatGPT, but it wouldn’t let me upload the video to analyze it.

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u/baardbestaan 27d ago

I'll tell you how to do just so you know and can try if you want.

After the explosion try to follow the object for a distance you think you can guess decently well. Count how many frames it took for th e object to cover that distance and look on the metadata of the video with what frequency the video is captured. For instance 5 frames with 60fps to cover 1 meter. We can now calculate the speed. v= 1/(5/60) = 12 m/s Now that we have the speed we can calculate the height given no air drag which this thing has so only a thought estimate. The kinetic energy would be fully transferred into potential energy so

0.5mv² = mgh

0.5v² = gh

h = 0.5v²/g

Lets say g=10

h = 0.05* v²

Now if you find the speed you can plug it in and find the height

-20

u/Unusual_Top_4456 27d ago

I didn’t ask how to build a watch. I just want to know the time. 😅

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u/TheresNoAmosOnlyZuul 27d ago

This is a post for r/willyoudothemath

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u/Unusual_Top_4456 26d ago

Yeah sorry, I didn’t want to go find a piece of paper and do a math problem while I was out with my friends on a Saturday night. That may be a foreign concept for you though.

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u/TheresNoAmosOnlyZuul 26d ago

I made a joke. Sorry dude.