Calculating Velocity from Coordinates: Is it Right?

AI Thread Summary
The discussion revolves around calculating velocity from given coordinates by analyzing a velocity versus time graph. The user initially attempts to find velocity by dividing y by x but questions the accuracy of this method. A correct approach involves calculating the slope (delta y/delta t) over any chosen region to determine velocity values. These values should be plotted at the midpoint of the corresponding time segments for accuracy. The conversation emphasizes the importance of correctly interpreting the relationship between coordinates and their representation on a graph.
Crusaderking1
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Homework Statement



I have the coords (5.0,0.5), (3.9,1.0), etc.(all can be eyeballed because of no slope.)

If I divided y/x = y of velocity vs time graph (sorry, I don't know how else to put it.)
I would get (5.0, 0.1) and respectively (3.9, .256) for the second cords, and these would be for the velocity vs time graph.

I think I am doing it wrong.

Homework Equations


The Attempt at a Solution

 
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You have a plot of y values versus time? To find the slope of this in some region, you calculate delta y and divide it by delta t, where delta y is the change in y, and delta t is the change in time, in that region. This gives you one point to be plotted on your new velocity versus time graph.
 


When you say same region, do you mean same line segments?
 


Crusaderking1 said:
When you say same region, do you mean same line segments?
I didn't anywhere say same region. I said some region, meaning any region. :smile:

Each velocity value you determine is best plotted as a point lying above the midpoint of the time segment, delta t, that was used in determining that velocity value.
 


NascentOxygen said:
I didn't anywhere say same region. I said some region, meaning any region. :smile:

Each velocity value you determine is best plotted as a point lying above the midpoint of the time segment, delta t, that was used in determining that velocity value.

Ok thanks.
 
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