Abhisar
  • Abhisar
The position vector of a particle is given by \( r = r_0(1-at)t\) , where t is the time and a as well as \(r_0\) are constant. After what time the particle returns to the starting time
Mathematics
schrodinger
  • schrodinger
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nincompoop
  • nincompoop
latex is not displaying properly on my end
nincompoop
  • nincompoop
is that r naught (r sub zero)
Abhisar
  • Abhisar
Yes, it's r naught

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Abhisar
  • Abhisar
I got it.
nincompoop
  • nincompoop
so t, a and r_0 are all constant? the english is badly phrased
nincompoop
  • nincompoop
\(test \)
nincompoop
  • nincompoop
okay now it is working
Abhisar
  • Abhisar
No only \(\sf r_0 ~and~ a\) are constants. \(\sf r = r_0t-r_0at^2\\ \Rightarrow (taking ~r=0) r_0t = r_0at^2 \\ \Rightarrow t =1/a\)
nincompoop
  • nincompoop
After what time the particle returns to the starting time
Abhisar
  • Abhisar
Yes, it shoud be t = 1/a
Abhisar
  • Abhisar
*should
nincompoop
  • nincompoop
i keep getting disconnected
Abhisar
  • Abhisar
It's ok, I solved it. Thanks for helping me though c:
nincompoop
  • nincompoop
by simplification, you are left with \(at=1 \)
nincompoop
  • nincompoop
your displacement must be set to zero (position function)

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