Mechanics- general motion in a straight line.

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Discussion Overview

The discussion revolves around calculating the total distance traveled in a motion problem involving integration of velocity over time. Participants are examining their calculations and comparing them to a textbook answer, focusing on the integration limits used in their computations.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant calculated the total distance as 28.9m using integration of velocity but noted a discrepancy with the textbook answer of 29.9m.
  • Another participant suggested a different approach to the integration, providing a specific integral to evaluate.
  • A participant acknowledged a mistake in their limits of integration, realizing that using the upper limit of 2 instead of 0.5 contributed to their incorrect result.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct approach, as there are differing methods and interpretations of the limits of integration. The discussion reflects a mix of attempts to clarify and correct previous calculations without establishing a definitive solution.

Contextual Notes

Limitations include potential misunderstandings of the integration limits and the assumptions underlying the motion problem. The exact nature of the velocity function and its implications for the integration are not fully resolved.

Shah 72
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20210608_174154.jpg

S for 0 to 2s = 20m
From 2s to 2.5s, I integrated v with limits 2.5 and 2 and got s=8.875m
So total distance would be 28.9m but the textbook ans is 29.9m. Iam not able to get 29.9 m
 
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well depth = $\displaystyle 20 + \int_0^{0.5} 20-t \, dt$

try again
 
skeeter said:
well depth = $\displaystyle 20 + \int_0^{0.5} 20-t \, dt$

try again
Thanks so much!
 
Why did your limits of integration not yield the correct solution?
 
You know I did try the limit 0.5 but the upper limit I took it as 2. That's the reason I couldn't get the right ans.

After seeing your limits I realized my mistake.
Thanks so much!
 

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