Difference between calcultaed slope and slope given on the graph?

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SUMMARY

The discussion focuses on comparing a calculated slope of 0.2460 m/s with a graphically represented slope of 0.2487 m/s. The difference between these two values is determined to be 0.0027 m/s. Participants debate whether to use the percent error formula or simply subtract the two slopes to find the difference. It is concluded that developing error uncertainty from the calculated measurements is essential to assess if the actual slope falls within an acceptable range of values.

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  • Understanding of slope calculations in physics
  • Familiarity with error analysis and uncertainty measurement
  • Knowledge of percent error formula application
  • Basic graph interpretation skills
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  • Study the application of the percent error formula in experimental physics
  • Learn about error propagation techniques in measurements
  • Explore methods for calculating and interpreting uncertainty in slope measurements
  • Review graphing techniques and slope determination from X-t graphs
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Homework Statement


When question is asked: "How close is the slope (from an X-t graph) you calculated and the value actually displayed on the graph?"---does this mean you simply subtract your calculated velocity(slope of X-t graph) from the slope actually given on the graph?


Homework Equations


your calculated slope is 0.2460 met./sec.
the slope given on the graph is 0.2487 met./sec
So, the difference between these should be 0.2487 - 0.2460 = 0.0027 units??


The Attempt at a Solution


i am unsure if i need to use the percent error formula or just simply subtract the two slopes to get the difference. actually, i am unsure of when you are supposed to use the percent error formula. Does the percent error formula have anything to do with this particular problem?
 
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I think a good approach would be to develop the error uncertainty from the calculated measurements and then determine if the actual slope lies within the range of acceptable values of the slope from the uncertainty.

If it dosn't then maybe you want to check your error assumptions as regards your measurements.
 

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