The weird integral: 1/2 ab^2
Where does it come from? Why is it everywhere? 1/2 kx^2 1/2 mv^2 1/2 at^2.
I know it’s about us integrating a thing over a distance but why is it everywhere in basic physics.
Posted Oct 18, 2021, 4:42 AM UTC
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Where does it come from? Why is it everywhere? 1/2 kx^2 1/2 mv^2 1/2 at^2.
I know it’s about us integrating a thing over a distance but why is it everywhere in basic physics.
Posted Oct 18, 2021, 4:42 AM UTC
Integerating a linear function ax+b gives 1/2 ax^2 + C. Linear functions to describe stuff are quite common, so you end up with a lot of linear functions to integrate when describing things, and thus get 1/2 ax^2 showing up a lot.
Ok so it’s just a 1 line thing over time.