Velocity at Time t: My vs Book Answer

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Homework Help Overview

The discussion revolves around determining the velocity of a particle at a specific time t, given an initial velocity and a time-dependent acceleration. The original poster presents a formula for velocity that differs from a textbook answer, prompting a comparison of the two approaches.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants question the original poster's calculation and suggest that the acceleration may not be constant, leading to a need for average acceleration. There is also mention of using calculus as an alternative approach.

Discussion Status

The discussion is active, with participants providing guidance on how to approach the problem. There is an emphasis on the importance of showing work to clarify misunderstandings. Multiple interpretations of the problem are being explored, particularly regarding the nature of acceleration.

Contextual Notes

Participants note the original poster's tendency to not show working in previous posts, which may hinder the discussion. There is an implicit expectation that homework rules are being followed, as participants emphasize the collaborative nature of the forum.

Amith2006
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Sir,
The initial velocity of the particle is u (at t=0) and the acceleration f is given by at. What is the velocity of the particle at a time t?
My answer is v = u + at^2 but the book answer is v = u + (at^2)/2. Which is right?
 
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The book, if you showed your work perhaps, we could point out your error.

~H
 
As Hoot stated, the book is right. Perhaps Amith, you are directly substituting the value of acceleration directly into v = u + at
But in this case acceleration is not constant but time variant (linearly).
So you need to take average acceleration which is ...

And please show your working or thoughts. I have often noticed in your earlier posts that you seldom show any working at all . We don't do other people's homework, we merely help.

Arun
 
Alternatively, Calculus could be used.

~H
 

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