Function of force with respect to v & t; find final v and distance

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Homework Help Overview

The discussion revolves around a particle moving along the x-axis, influenced by a force that depends on both velocity and time. Participants are tasked with determining the final velocity and distance traveled after a specified time, given initial conditions and parameters.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the relationship between force, mass, acceleration, and velocity, questioning how to differentiate and integrate the acceleration function. Some express confusion over the interpretation of the force equation and the implications of its dependence on two variables.

Discussion Status

Several participants have provided insights and suggestions on how to approach the problem, including hints about using separation of variables for integration. There is ongoing exploration of the correct interpretation of constants and the integration process, with some participants expressing uncertainty about their results.

Contextual Notes

Participants note potential issues with signs in their equations and the challenge of applying initial conditions correctly. There is mention of constraints related to homework rules and the requirement for both parts of the problem to be solved accurately.

  • #31
Nevermind! Ah, I forgot C is actually positive. That worked.

Thank you both!
 
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  • #32
Your welcome
 

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