Particle acceleration and velocity Problem

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SUMMARY

The discussion focuses on determining the velocity of a particle as a function of position, given its acceleration defined by the equation a = 4s² m/s². The initial conditions specify that the velocity v = -100 m/s when the position s = 10 m. Participants emphasize the importance of correctly setting limits of integration when solving the integral of acceleration to find velocity. The correct approach involves integrating the acceleration function and applying the appropriate limits to derive the velocity function.

PREREQUISITES
  • Understanding of calculus, specifically integration techniques.
  • Familiarity with kinematic equations in dynamics.
  • Knowledge of the relationship between acceleration, velocity, and position.
  • Experience with setting limits of integration in calculus problems.
NEXT STEPS
  • Study the relationship between acceleration and velocity in dynamics.
  • Practice integration of functions involving position to derive velocity.
  • Learn about the application of limits of integration in calculus.
  • Review kinematic equations and their derivations for better understanding.
USEFUL FOR

Students in dynamics courses, physics enthusiasts, and anyone looking to deepen their understanding of particle motion and the mathematical relationships between acceleration, velocity, and position.

  • #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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