Particle acceleration and velocity Problem

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Discussion Overview

The discussion revolves around a problem involving the acceleration of a particle defined as a function of its position, specifically a=(4s^2) m/s². Participants are attempting to determine the particle's velocity as a function of position, starting from given initial conditions. The conversation includes various approaches to integration and the application of dynamics principles.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses difficulty in integrating the acceleration function and seeks step-by-step guidance.
  • Another participant suggests integrating the acceleration with respect to position and setting limits for the integration.
  • There is a request for clarification on the definition of acceleration and its relationship to velocity and position.
  • Some participants emphasize the importance of understanding fundamental concepts in dynamics before tackling the problem.
  • A later reply introduces the relationship between acceleration, velocity, and position, suggesting a method for integration involving limits.
  • Participants discuss the need for proper limits of integration when calculating velocity from acceleration.
  • There is a mention of previous mistakes in reading the problem, indicating the complexity of the task.
  • One participant acknowledges a misunderstanding about the integration process and the need to integrate only once to find velocity as a function of position.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct approach to the problem, with multiple competing views on how to integrate and apply the concepts of dynamics. The discussion remains unresolved regarding the specific steps to find the velocity function.

Contextual Notes

There are indications of missing assumptions and potential misunderstandings about the definitions of acceleration and velocity, as well as the integration process. Some participants express confusion about the limits of integration and the correct application of dynamics principles.

  • #31
and then plug in what?
 
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  • #32
What do you mean "plug in"?
 
  • #33
With these problems, you have to read them very carefully, or you will make mistakes. (Like I did when I misread it twice).

A particle is moving along a straight line such that its acceleration is defined as a=(4s^2)m/s^2, where s is in meters. If v=-100m/s when s=10m and t=0, determine the particles velocity as a function of position.
 
  • #34
how can i determine that :)
 
  • #35
determine what?
 
  • #36
determine the particles velocity as a function of position
 
  • #37
Integrate that function I gave you.
 
  • #38
alright, i'll do that
 

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