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Terminal velocity in a viscous medium

  1. Oct 15, 2007 #1
    A 11.00 kg object starting from rest falls through a viscous medium and experiences a resistive force R = -bv, where v is the velocity of the object. The object reaches one half its terminal speed in 5.84 s.

    (a) Determine the terminal speed.
    82.7 m/s

    (b) At what time is the speed of the object three-fourths the terminal speed?
    11.7 s

    I couldn't figure out on this question. can someone help me out, i'll be appreciated
    (c) How far has the object traveled in the first 5.84 s of motion?
     
  2. jcsd
  3. Oct 16, 2007 #2

    Hootenanny

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    Can you write an equation of motion for the object?
     
  4. Oct 16, 2007 #3
    was it v = [Initial velocity] + [(1/2)at^2]?
     
  5. Oct 17, 2007 #4

    Hootenanny

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    That equation is only valid for constant acceleration, but is the acceleration constant in this case?
     
  6. Oct 17, 2007 #5
    well what i got for this question is x=d=mgt/b + m^2g/b^2 * (exp(-bt/m) - 1)=483m
    but I don't understand why this is a wrong answer so can you tell me why?
     
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