Calculate Instantaneous Velocity at t=2s

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SUMMARY

The discussion focuses on calculating instantaneous velocity at t=2s using graphical methods. A participant attempted to find the slope of the tangent line, resulting in a value of 3.66, while the expected answer is 3.8. The discrepancy arises from the estimation of the tangent line's intercepts on the time and distance axes, with suggestions to refine the calculations using more precise values, such as 13.3/3.5 for a better estimate. The conversation highlights the importance of accurate graphical interpretation in physics problems.

PREREQUISITES
  • Understanding of instantaneous velocity and its calculation
  • Familiarity with graph interpretation and tangent lines
  • Basic knowledge of slope calculations
  • Experience with estimating values from graphical data
NEXT STEPS
  • Study the concept of derivatives in calculus for instantaneous velocity
  • Learn how to accurately draw and interpret tangent lines on graphs
  • Explore numerical methods for estimating slopes from data points
  • Investigate common pitfalls in graphical analysis in physics
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for effective methods to teach graphical analysis and slope calculations.

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Homework Statement

Homework Equations

The Attempt at a Solution


I tried to find the slope of the tangent line, but this gave me 3.66 and the answer is 3.8 how do I find this?
 

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First, for the graph you've given us, I don't think you could be expected to do any better.

Second, but what numbers did you use? It looks like your tangent crosses the time axis at 3.5sec and the distance axis at over 13, so 13/3.5 = 3.71 should be lower than your answer? Their suggestion of 3.8 looks like 13.3/3.5 and I can estimate the distance intercept between13.26 and 13.33 or even 13.4 (a pixel or two on my copy!)
 
Merlin3189 said:
First, for the graph you've given us, I don't think you could be expected to do any better.

Second, but what numbers did you use? It looks like your tangent crosses the time axis at 3.5sec and the distance axis at over 13, so 13/3.5 = 3.71 should be lower than your answer? Their suggestion of 3.8 looks like 13.3/3.5 and I can estimate the distance intercept between13.26 and 13.33 or even 13.4 (a pixel or two on my copy!)
your copy is as good as mine I forget the exact numbers I used but I was hoping there would be a different way to go about it other than eyeballing it.
 

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