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Q&A Find position of a particle at a time

1 answer  ·  posted 1y ago by MissMulan‭  ·  last activity 1y ago by celtschk‭

#3: Post edited by user avatar deleted user · 2021-08-14T13:02:28Z (about 1 year ago)
\cdot or, direct cross product is better than asterisk
Find position of a particle at a time
  • If we have a force which changes depending on the position of a particle, how can we find the position of the particle at some time $t$?
  • We can find its velocity if it has travelled a given distance
  • $$ \int^{r_f}_{r_o} F(r)dr = \frac{1}{2} * m_p(u_f^2 - u_o^2) $$
  • but this equation doesn't involve time and I don't see how we can 'generate' time from a position varying force. Any help?
  • If we have a force which changes depending on the position of a particle, how can we find the position of the particle at some time $t$?
  • We can find its velocity if it has travelled a given distance
  • $$ \int^{r_f}_{r_o} F(r)dr = \frac{1}{2} \cdot m_p(u_f^2 - u_o^2) $$
  • but this equation doesn't involve time and I don't see how we can 'generate' time from a position varying force. Any help?
#2: Post edited by user avatar Canina‭ · 2021-08-14T11:07:18Z (about 1 year ago)
Typeset equation using inline Mathjax instead of as image, plus minor formatting and copy-editing
Find position of a particle at a time
  • If we have a force which changes depending on the position of a particle how can we find the position of the particle at some time t?
  • We can find its velocity if it has travelled a given distance
  • ![hi](https://physics.codidact.com/uploads/NpgKqu4eLBacFz384Y8SdcL7)
  • but this equation doesnt involve time and i dont se how we can 'generate' time from a position varying force.Any help?
  • If we have a force which changes depending on the position of a particle, how can we find the position of the particle at some time $t$?
  • We can find its velocity if it has travelled a given distance
  • $$ \int^{r_f}_{r_o} F(r)dr = \frac{1}{2} * m_p(u_f^2 - u_o^2) $$
  • but this equation doesn't involve time and I don't see how we can 'generate' time from a position varying force. Any help?
#1: Initial revision by user avatar MissMulan‭ · 2021-08-14T06:20:54Z (about 1 year ago)
Find position of a particle at a time
If we have a force which changes depending on the position of a particle how can we find the position of the particle at some time t?

We can find its velocity if it has travelled a given distance 

![hi](https://physics.codidact.com/uploads/NpgKqu4eLBacFz384Y8SdcL7)

but this equation doesnt involve time and i dont se how we can 'generate' time from a position varying force.Any help?