- #1
kylera
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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]
Homework Equations
[tex]v^{2}=v_{0}^{2}\times2as[/tex]
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.