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## Main Question or Discussion Point

In a lot of calculus texts, there's an example of an application of differential equations involving escape velocity. They write acceleration is dv/dt but then write it as [tex]\frac{dv}{ds}\frac{ds}{dt}[/tex]

That just looks like an application of the chain rule but what is the meaning of dv/ds? inverted time? How would you use it in a related rates problem?

That just looks like an application of the chain rule but what is the meaning of dv/ds? inverted time? How would you use it in a related rates problem?