Calculate Instantaneous Velocity at t=2s

AI Thread Summary
To calculate instantaneous velocity at t=2s, finding the slope of the tangent line is essential. The initial attempt yielded a slope of 3.66, while the expected answer is 3.8. The discussion highlights the importance of accurately determining the tangent's intercepts on the axes, suggesting that a more precise estimation could lead to a better result. It is noted that the values used in calculations significantly impact the outcome, and relying solely on visual estimation may not yield the most accurate answer. Overall, refining the method of determining the tangent line's slope is crucial for achieving the correct instantaneous velocity.
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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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