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

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SUMMARY

The discussion focuses on calculating velocity from a position-time graph (P-t graph) by determining the slope of the curve at t = 10.0 seconds. Participants emphasize using points near t = 10.0 seconds, specifically recommending the use of data points at 9.7 seconds and those immediately following it for a more accurate slope calculation. It is crucial to convert position data from kilometers to meters per second for the correct velocity units. The slope formula (y2-y1)/(x2-x1) is highlighted as the method for finding velocity.

PREREQUISITES
  • Understanding of slope calculation using the formula (y2-y1)/(x2-x1)
  • Familiarity with position-time graphs and their interpretation
  • Knowledge of unit conversion from kilometers to meters
  • Basic concepts of velocity as change in position over time
NEXT STEPS
  • Practice calculating slopes from various position-time graphs
  • Learn about unit conversions in physics, specifically from kilometers to meters
  • Explore the concept of instantaneous velocity and its calculation
  • Study the relationship between linear motion and graphical representation in physics
USEFUL FOR

Students studying physics, particularly those learning about motion and graph interpretation, as well as educators looking for effective methods to teach velocity calculations.

Lana Elcic
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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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