Question 1061683
If we assume that air resistance is proportional to the square of the velocity, then the time t in seconds required for an object to reach a velocity v in feet per second is given by: 
t=9/24ln 24+v/24-v, 0 &#8804; v < 24 

determine the velocity, to the nearest hundredth foot per second of the object after 1.3 seconds 
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Solve::
1.3 = (9/24)ln(24+v)/(24-v)
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ln[(24+v)/(24-v)] = 3.467
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(24+v)/(24-v) = e^3.467
24+v = 32.03(24-v)
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24+v = 768.72 - 32.03v
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33.03v = 744.72
v = 22.55
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Cheers,
Stan H.
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