(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An asteroid moves toward the sun along a straight line with a velocity given by v = -(c_{1}+c_{2}/x)^{½}, where x is the distance from the center of the sun. Use the chain rule for derivatives to show that the asteroid's acceleration is a = -c_{2}/2x^{2}.

3. The attempt at a solution

I'm not sure what c_{1}and c_{2}are, I assumed constants, but just throwing that out there. I also assumed I was supposed to derive the velocity with respect to x in order to get the given acceleration. Unfortunately, I don't get the given acceleration. I suspect it is a simplification problem, or perhaps I've just forgotten how to do calculus.

v = -(c_{1}+ c_{2}/ x)^{1/2}

dv/dt = -1/2(c_{1}+ c_{2}/ x)^{-1/2}* ((x-c_{1}+c_{2})/x^{2})

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# Homework Help: Deriving acceleration from velocity

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