Finding position coordinates from given force vector

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SUMMARY

The discussion centers on calculating the position coordinates of a particle subjected to a force vector F = xi + yj + zk. The derived position vector after time t seconds is given by xt²/2m, 2yt²/m, and zt²/2m. Participants seek detailed instructions on how to arrive at these equations from the initial conditions of the particle, specifically starting from rest at the origin.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Basic knowledge of vector calculus
  • Familiarity with kinematic equations
  • Concept of force vectors in physics
NEXT STEPS
  • Study Newton's Second Law and its application to particle motion
  • Learn about vector calculus and its relevance in physics
  • Explore kinematic equations for uniformly accelerated motion
  • Investigate force vector decomposition and its implications
USEFUL FOR

Students in physics, educators teaching mechanics, and anyone interested in the dynamics of particle motion under force vectors.

Sreekuttan Jayakumar
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1. A particle of mass m initially at rest at the origin is acted upon by a force (vector) F = xi+yj+zk. Its position vector after t seconds areI need instructions on solving this
 
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Answer is : xt^2/2m, 2yt^2/m, zt^2/2m
But I really need instructions on solving this
 

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