Particle Dynamics and Time Problem

  • Thread starter s4orce
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  • #1
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Main Question or Discussion Point

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.
 

Answers and Replies

  • #2
Pyrrhus
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did you mean find the time when v=vf or terminal velocity?
 
  • #3
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find the time for the velocity to become v<vf. (V less than Vf)
 
  • #4
Pyrrhus
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So, how are you going to start the problem?
 
  • #5
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make the forces and gravitation = to eachother? can you help me please?
 
  • #6
Pyrrhus
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make the forces and gravitation = to eachother? can you help me please?
Start up by setting the ordinary differential equation, dv/dt.
 
  • #7
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dv/dt = (g/v^2f)(v^2f-v^2)? like that? how? can you please show me
 
  • #8
Pyrrhus
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Ok now, when will v be less than the terminal velocity?
 

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