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October 22nd, 2019, 08:25 AM   #1
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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 vectorial-calculus ?

Last edited by idontknow; October 22nd, 2019 at 08:34 AM.
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October 22nd, 2019, 09:28 AM   #2
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i guess they want $v^2 \to |\vec{v}|^2 = \vec{v}\cdot \vec{v}$
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October 22nd, 2019, 09:30 AM   #3
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Got it.
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