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Terminal speed. Calculus. Time.

  1. Jan 1, 2013 #1
    1. The problem statement, all variables and given/known data
    An object of mass m falls from rest subject to air resistance force directly proportional to the object's speed, F=-bv, where b is the proportionality constant in N/(m/s) and the negative sign indicates the direction of the force opposite to the direction of the velocity. How long does it take this object to reach half of its terminal speed?


    2. Relevant equations

    a=g-bv/m, a=dv/dt, etc...

    3. The attempt at a solution
    tried, all failed.
     
  2. jcsd
  3. Jan 1, 2013 #2

    haruspex

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    Using the two equations you posted, and eliminating a between them, should give you a differential equation involving v and t. What is it? Can you solve it?
     
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