In case you’re wondering, the intuitive part is in the video, not the gif. It’s related to how going from 0 to pi goes from the right end of the unit circle to the left end, which is a distance of 2, and that if you integrate velocity, you get distance. Check it out!
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Owing a tesla in the city...
Funny
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Nope. Sorry. Not in the slightest bit intuitive. Just animating the fill of the area under the curve doesn't of itself make it equal to 2...it would need to relate the area to something that is obviously 2, like a square at (0,0)..(1.414,1.414)
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well they did link the video
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Integral of velocity over time is equal to distance. Because it's a unit circle, theta can be used to represent time.
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Basically that circle in video shows how these lines are made (as shown in image below) . Consider v = 1.pic.twitter.com/MmOG6cwBxf
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