- #1
greco117
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Homework Statement
So I have a set of data, velocity and time, of a falling object. So the question is: how can I get the value for the terminal speed?
Homework Equations
Since we're talking about terminal velocity an ecuation that descrives a Velocity vs time graph should be of the form:
[itex]V =Vt\left(1-e^\left(\frac{-bt}{m}\right)\right)[/itex]
where [itex]Vt[/itex] is ther terminal velocity
[itex]m[/itex] is the mass
[itex]b[/itex] is a constant which depends of the caracteristics of the body
and [itex]t[/itex] is the time
The Attempt at a Solution
So I need to fit my data with an ecuation of this style,my first thought was that I had to do a logistic regression but that didn't look right (the ecuation is similar but is not the same),
Then I thought doing a little of algebra
[itex]Vt-V=Vt\left(e^\left(\frac{-bt}{m}\right)\right)[/itex]
And then All I needed to do was an exponential regression but again that doesn't look like the best way because I'm already giving [itex]Vt[/itex] a value