How Do You Plot a Position-Time Graph with Subtle Curves?

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SUMMARY

The discussion focuses on plotting a position-time graph with subtle curves based on provided data points. The data includes time in seconds and corresponding position in millimeters, ranging from 0mm at 0.00s to 115mm at 1.20s. Participants clarify that a curve of best fit is required, emphasizing that a straight line is insufficient due to the subtle nature of the curve. The conclusion is that a smooth curve must be drawn to accurately represent the relationship between time and position.

PREREQUISITES
  • Understanding of position-time graphs
  • Familiarity with curve fitting techniques
  • Basic knowledge of graphing software or tools
  • Ability to interpret data points and trends
NEXT STEPS
  • Research curve fitting methods in graphing software like Excel or Python's Matplotlib
  • Learn about polynomial regression for creating smooth curves
  • Explore the concept of residuals to assess the fit of a curve
  • Investigate the use of splines for drawing subtle curves in data visualization
USEFUL FOR

Students in physics or mathematics, educators teaching graphing techniques, and anyone involved in data visualization who needs to accurately represent non-linear relationships.

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Homework Statement



Plot your position-time info on a graph. Draw a smooth curve that fits the data closely

Homework Equations


t(s)---D(mm)(Position Data)
0.00---0mm
0.20---18mm
0.40---37mm
0.60---58mm
0.80---82mm
1.00---101mm
1.20---115mm


The Attempt at a Solution


I am not sure but is it asking for a curve of best fit because when i plotted the points it looked more linear than curved
 
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Yes, it looks kind of linear, but not quite. You can not use a straight line fit. The curve is subtle.
 

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