Just a quick question about v vs. t graphs

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SUMMARY

This discussion focuses on constructing velocity vs. time (v vs. t) graphs in physics, specifically addressing both qualitative and quantitative representations. To create a quantitatively accurate v vs. t graph, one must calculate the slope from a known x vs. t graph or compute the area under the curve from an acceleration vs. time (a vs. t) graph. The discussion emphasizes the importance of labeling both axes with numerical values to achieve accuracy. The methods outlined provide a clear pathway for students to visualize and analyze motion effectively.

PREREQUISITES
  • Understanding of basic physics concepts, specifically motion and kinematics.
  • Familiarity with graphing techniques and slope calculations.
  • Knowledge of area calculations under curves for graphical data.
  • Ability to interpret and analyze quantitative data in graphical form.
NEXT STEPS
  • Learn how to calculate slope for velocity from position vs. time graphs.
  • Study methods for calculating the area under curves in acceleration vs. time graphs.
  • Explore software tools for graphing and analyzing motion data, such as Desmos or GeoGebra.
  • Investigate the relationship between acceleration, velocity, and displacement in kinematics.
USEFUL FOR

Students in physics classes, educators teaching kinematics, and anyone interested in understanding motion through graphical analysis.

Lloydsgurl
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We've been working on acceleration and velocity in my physics class and I've got a question about velocity vs. time graphs. My assignment asks me to:
A. construct a qualitative graph for v vs. t
B. construct a quantitatively accurate v vs. t graph
I'm pretty sure I know how to solve A because it's what we've been doing in class, but how would I solve B/what would it look like?

I don't think my question requires me to actually write the problem, but if I need to I can. Any help for this (ridiculously) simple question?
 
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"Quantatively accurate" means that the velocity axis,
and the time axis, both need to have numerical values on them.

If you are starting with a known (quantitative) x vs t graph,
you'll have to calculate the velocity for each segment of motion
by computing the slope (rise/run).

If you're starting with a known (quantitative) a vs t graph,
you'll have to compute the area under the curve up till each time
(typically by counting "boxes" on the graph paper).
 
Thank you so much!
 

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