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Particle Dynamics Problem

  1. Jan 30, 2007 #1
    When a particle fall through the air, its initial acceleration a=g diminishes until it is zero, and thereafter it falls at a constant or terminal velocity vf. If this variation of the acceleration can be expressed as a=(g/v^2f)(v^2f-v^2), determine the time needed for the velocity v<vf. Initially the particle falls from rest.
     
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  3. Jan 30, 2007 #2

    Pyrrhus

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    did you mean find the time when v=vf or terminal velocity?
     
  4. Jan 30, 2007 #3
    find the time for the velocity to become v<vf. (V less than Vf)
     
  5. Jan 30, 2007 #4

    Pyrrhus

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    So, how are you going to start the problem?
     
  6. Jan 30, 2007 #5
    make the forces and gravitation = to eachother? can you help me please?
     
  7. Jan 30, 2007 #6

    Pyrrhus

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    Start up by setting the ordinary differential equation, dv/dt.
     
  8. Jan 30, 2007 #7
    dv/dt = (g/v^2f)(v^2f-v^2)? like that? how? can you please show me
     
  9. Jan 30, 2007 #8

    Pyrrhus

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    Ok now, when will v be less than the terminal velocity?
     
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