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January 7th, 2014, 03:05 AM   #1
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Trivial problem to obtain Distance from Velocity.

Hi,

i don't know if this is the right place to post this but, I want to know if i'm done right about this very trivial physic problem. Can you help me please?
I wasn't so good about physics in high school, so now i'm trying to do physics in a rational way because I want to comprehend every passage that brings to obtain a particular formula.

I have this basic problem:
A train travels away at a velocity mph (miles per hour). At it is distance from us. Write the equation for the distance the train is from us in terms of time .

So:
reading this problem I can understand that we know the velocity, and that is . By definition, the velocity is the distance traveled divided by the time. So in a plot with space in function of time, this velocity, is the slope of the line in that one.
Reading the problem, I don't know anything about the distance formula, so I want to obtain that from the velocity, that I call , and, by definition, it is the ratio of to :


we know that so:

from this last equation I can obtain the distance:






this last equation I obtained is the equation of the distance.
I think that this is the right way to follow to obtain it. is it right?

many thanks for your patience!
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January 7th, 2014, 11:58 AM   #2
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Re: Trivial problem to obtain Distance from Velocity.

It will be a lot quicker and clearer if you multiply through by t right after the second line to get:
vt = S - So. Therefore S = So + vt.
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