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

The velocity of a ball of mass 'm' varies with the distance v(x) = ax^{-n}, where a and n are positive constants.

Determine F(x), x(t) and F(t).

2. Relevant equations

F = ma

a = dv/dt

v = dx/dt

3. The attempt at a solution

If velocity were the function of time, i would have done it with no problem. I determined the acceleration, which is -nax^{-n-1}.

For v, i integrated 'a' with respect to t. But velocity's dependence in distance confused me. Any help will be highly appreciated.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Velocity as a function of distance problem

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