I have a known potential energy, V, expression:(adsbygoogle = window.adsbygoogle || []).push({});

V(x,y,z) = α·x + β·y^{2}+ γ·z^{3}

I'm given: @(0,0,0), v = v_{0}and then asked to find v at (1,1,1).

I can determine v from Conservation of Energy:

v^{2}= v_{0}^{2}- (2/m)·(α + β + γ)^{2}

In general, what is the expression for the accelerations a_{x}, a_{y}, a_{z}?

Do I find F from -∇V?

If so, what's next (as far as finding the acceleration's x, y and z-components)?

Thanks!

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# Deriving Acceleration from Potential Energy?

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