Derivation of Kinematic Equation from Algebra and Geometry | Doc Physics

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Let's be honest. Calculus is the best way to understand what this position-as-a-function-of-time equation is all about. But there are two other simple ways to derive THE CLASSIC.
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I hate memorization, too. Understanding is where it's at, yo.

DocSchuster
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THE CLASSIC, LOL
I cannot BELIEVE I haven't seen this video before given as it was uploaded on my birthday 5 years ago!! Absolutely fantastic walk through of how to get those formulas without calculus

industrialdonut
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You should definitely keep making videos....forever. If you find out someway I can donate money to you, I will. I know making these videos takes time and effort.

surfskatechill
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Thank you! I appreciate your support!

DocSchuster
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Awesome, this I what I really looking for.

joblong
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Wow! Awesome teaching! I would just suggest to point out at 9:36, since there are diff graph with diff equation (obviously, ) i think it would be best to point out that the one without "(Vo)(t)" simply means it started in zero. (0)(t). Hence, delta x of that particular graph is = (1/2)(at^2) instead of adding (Vo)(t), it wasnt in it because the value for Vo is 0, in turn, disregarding it.

haihaiiro
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You know, you're right. I should have written a_ave for that first equation so I could have a more universal explanation. Thanks!

DocSchuster
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Strictly speaking, writing just t is sloppy. It presumes that you always start your stopwatch at zero, which is limiting. I also like the symmetry of Delta(x)/Delta(t) and the way is easily changed to a derivative if we change to d's instead of Deltas. However, writing t makes the equation more compact and cute, I think. Also, it's what my book (Walker) does.

DocSchuster
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You're drunk while teaching :D .. and I love it .. thanks very much :)
It's clear a teaching and enjoying

OMARYassin