October 22nd, 2019, 08:25 AM  #1 
Senior Member Joined: Dec 2015 From: Earth Posts: 833 Thanks: 113 Math Focus: Elementary Math  Energy of motion
Find the equation that satisfies the energy of motion $\displaystyle E=\frac{mv^2 }{2}$ using vectorial calculus. Here is only calculus(not vectorial calculus) : $\displaystyle Fdx=\frac{dp}{dt}vdt= mvdv$. How to derive it with vectorialcalculus ? Last edited by idontknow; October 22nd, 2019 at 08:34 AM. 
October 22nd, 2019, 09:28 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,647 Thanks: 1476 
i guess they want $v^2 \to \vec{v}^2 = \vec{v}\cdot \vec{v}$

October 22nd, 2019, 09:30 AM  #3 
Senior Member Joined: Dec 2015 From: Earth Posts: 833 Thanks: 113 Math Focus: Elementary Math 
Got it.


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energy, motion 
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