What Software Can Create Smooth d/t and v/a Graphs with Tangents?

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SUMMARY

To create smooth distance-time (d/t) and velocity-acceleration (v/a) graphs with tangent lines, software options include Maple, Mathematica, Matlab, and GnuPlot. While GnuPlot is free and capable of generating best-fit lines and tangent lines, it has a steeper learning curve. For regression analysis, Linear Regression is recommended for v/a data, while Polynomial Degree 2 Regression is suitable for d/t data. Graphical Analysis is another specialized tool for physics labs that automates best-fit curve calculations.

PREREQUISITES
  • Familiarity with regression analysis techniques, specifically Linear and Polynomial Regression.
  • Basic understanding of graphing software, particularly GnuPlot and Graphical Analysis.
  • Knowledge of calculus concepts for determining tangent lines from curve equations.
  • Experience with data entry and manipulation in software environments.
NEXT STEPS
  • Learn how to use GnuPlot for creating smooth graphs and performing regression analysis.
  • Explore the features of Graphical Analysis for physics lab applications.
  • Study the principles of Linear and Polynomial Regression in depth.
  • Investigate online regression tools like the one provided at http://www.arachnoid.com/polysolve/ for browser-based graphing.
USEFUL FOR

Students in physics labs, educators teaching graphing techniques, and anyone involved in data visualization and analysis requiring smooth graphing capabilities.

Nx2
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Hi guys, I am doing a lab in physics, which requires me to make d/t and v/a graphs. Our teacher wants the graphs to be nice and smooth with tangent lines and everything, thing is, i don't know what prgram to use. He said no excel because they don't give u smooth lines. Any ideas?... Any help would be appreciated. Thnx.

- Tu
 
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Maple, Mathematica, and Matlab will all do this. You can also tinker with GnuPlot and get some very nice graphs. Excel was never made for mathematical applications, and so has some major short comings with making nice graphs with tangent lines and such.

The downside is that most of the best programs are not free. GnuPlot is free, and good, but it's tricky to learn how to use properly. It can, however, do best fit lines, calculate slopes between given points, and (I think) create tangent lines.
 
Nx2 said:
Hi guys, I am doing a lab in physics, which requires me to make d/t and v/a graphs. Our teacher wants the graphs to be nice and smooth with tangent lines and everything, thing is, i don't know what prgram to use. He said no excel because they don't give u smooth lines. Any ideas?... Any help would be appreciated. Thnx.

- Tu
You may want to do Regression (also called "Curve Fitting") on your data. These mathematical routines determine and graph a smooth "Best-Fit Curve" thru your data points. The type of curve is selectable, usually ranging from Linear to Polynomials of various degrees. For your lab, it appears you might want Linear Regression ("Linear Curve Fitting") for the "v/a" data, and Polynomial Degree 2 ("Quadratic") Regression for the "d/t" data.

If your lab cannot provide Regression programs, try the following site, which offers no-frills Regression capabilities thru your browser. Scroll all the way down the page for the program. Enter your data in the top panel, select Regression type ("Polynomial") and Degree ("1" for Linear, and "2" for Quadratic), and the program will graph the Best-Fit smooth curve thru your data. Formulas for the smooth curve are provided in the bottom panel, and you can determine tangent lines by differentiating these formulas. (For report purposes, you'll may want to "Screen Capture" the results.) Good Luck!
http://www.arachnoid.com/polysolve/

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Last edited:
Hey neat link xanthym. :smile:
 
If you have access to it, there's a program called Graphical Analysis that was specifically designed for graphing physics labs on the computer. It calculates the Best Fit curve for you using either direct or indirect equations and then tells you what the lowest MSE is so you can pick the best fits for that particular set of data
 
Nx2 said:
He said no excel because they don't give u smooth lines.
- Tu

He would also be wrong if that is what he said. There are certain graph types you would have to choose, but it is definitely do-able in Excel. You can do a fair amount of regression analysis with Excel by using their included regression tool. If you do it by hand you can do whatever you like.
 
thnx a lot guys... i'll deffinitely tryout some of these programs.

- Tu
 

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