MHB Mechanics- general motion in a straight line.

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The discussion revolves around confusion regarding calculating distance in a motion problem, specifically questioning the interval for integration. Participants clarify that the total distance should be calculated over the interval from 0 to 2, despite the textbook providing an answer for a different interval. The correct integral expression for total distance traveled is emphasized, with a focus on using the appropriate velocity equation. The importance of understanding the relationship between velocity and distance in motion problems is highlighted. Overall, clarity on the integral expressions and intervals is crucial for accurate calculations in mechanics.
Shah 72
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I don't understand q(e) . Am I not supposed to calculate the distance between the interval 0 to 2? The textbook ans only shows the interval between 0 and 22. Should I calculate the distance taming only the second equation of velocity?
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Which integral expression shows the correct value for total distance traveled?

06-09-2021 Image002.jpg
 
skeeter said:
Which integral expression shows the correct value for total distance traveled?

View attachment 11186
It's the first one . Thank you!
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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