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**1. Homework Statement**

Use the Chain Rule to prove that for rectilinear motion, when the acceleration is a known function of position, you can find the velocity as a function of position via the integral

[tex]\frac{v^{2}-v_{0}^{2}}{2} = \int^{s}_{s_{0}}a(s)ds[/tex]

**2. Homework Equations**

[tex]v^{2}=v_{0}^{2}\times2as[/tex]

**3. The Attempt at a Solution**

I took the left fraction, substituted v^2, simplified and got [tex]as[/tex]. I let A be as, then took dA to get a da. Now I'm stuck.