- #1

Ryker

- 1,086

- 2

## Homework Statement

Integrate

[tex]v_{y} = v_{t} (1 - e^{-(\frac{k}{m})t}))[/tex]

to get [tex]y[/tex] as a function of time.

## Homework Equations

[tex]y = v_{t}(t - \frac{m}{k} (1 - e^{-(\frac{k}{m})t})))[/tex] is the solution.

[tex]v_{t}=\frac{mg}{k}[/tex]

## The Attempt at a Solution

Well, when I integrate I get the following:

[tex]y = v_{t}(t + \frac{m}{k} e^{-(\frac{k}{m})t})))[/tex]

I don't get where that middle part comes from, which when taken out of brackets equals

[tex]-\frac {v_{t}m}{k}[/tex].

Does anyone have any idea what I'm missing or where I may have gone wrong with my integration technique?

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