Solving for Velocity and Acceleration Error: A Confusing Task

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SUMMARY

The discussion focuses on calculating velocity and acceleration errors from a given dataset of time and velocity values. The user is tasked with determining individual errors for each point, given that the errors for time (delta t = 0.2 s) and velocity (delta v = 3.0 m/s) are uniform across all points. The user contemplates using the slope of the graph to derive acceleration but is cautioned against considering this difference as an error. The key takeaway is the necessity of plotting points with error bars to accurately represent the data.

PREREQUISITES
  • Understanding of basic kinematics concepts, specifically velocity and acceleration.
  • Familiarity with error analysis in experimental physics.
  • Proficiency in graphing data points and interpreting error bars.
  • Knowledge of the formula for calculating relative error: (|your value - standard value|)/standard value.
NEXT STEPS
  • Learn how to plot data points with error bars in graphing software such as Excel or Python's Matplotlib.
  • Study the principles of error propagation in physics experiments.
  • Explore the concept of slope in relation to acceleration in velocity-time graphs.
  • Investigate the differences between systematic and random errors in experimental data.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone involved in experimental data analysis, particularly those focusing on kinematics and error analysis in their research or studies.

h6872
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Hi everybody!

This might seem like a terribly easy question, but I can't seem to figure it out for the life of me. I've been given a set of values for time and velocity:

t (s) v (m/s)
0 0
3 7
7 16
12 33
18 48
23 53
27 67
34 86

And told that the errors at (delta)t = 0.2 s and (delta)v = 3.0 m/s are the same for all experimental points.

How would I go about determining the error for these values individually (as I'll have to graph the points)? The question asks for the acceleration and error, and the method I've been given seems to involve plotting each point with its associated error bars.

But couldn't I use the slope of my graph (if I plot these points without the error bars) to determine acceleration, and take the acceleration calculated from 3.0/0.2 as my expected value, and use the: (|your value-standard value|)/standard value equation?

And yet, I've been explicitly told not to consider this difference an error.

Please help! I'm completely confused!
 
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