Calculating Velocity Using P-t Graph | Homework Help for Physics

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To determine the velocity at t = 10.0 s using the provided P-t graph, the slope of the curve must be calculated. Since there is no point plotted exactly at 10 seconds, it is advisable to use points immediately before and after this time for a more accurate estimate. The slope formula (change in position over change in time) should be applied, keeping in mind that position is given in kilometers and the final answer needs to be in meters per second. The discussion highlights differing results from calculations, indicating the importance of showing the steps taken to reach the answer. Accurate interpretation of the graph and careful selection of data points are crucial for solving the problem.
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Homework Statement


[/B]
Take the slope of the curve in the figure to determine the velocity at t = 10.0 s, in meters per second.
vujobm3j.1qv.png


Homework Equations



(y2-y1)/(x2-x1)[/B]

The Attempt at a Solution



I don't know how to find it at 10 because there isn't a point plotted at 10. I did the two points near it and got it 1.04 by using the above slope equation.[/B]
 
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I don't see how you could have gotten close to one. Velocity is change in position per unit time. You are given the data points and the plot. Looking at the plot, it is just about a straight line, so you could potentially use any points given to find the slope, but since 10 is so close to 9.7, I would recommend the points before and after 9.7 sec to use for the estimate.

Also, note that position data is given in km and the problem asks for velocity in m/sec.
 
Best shows us how you got to the answer, because I get a completely different one.
 
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