30. A mass m falls under gravity (force mg) through a liquid whose viscosity is decreasing so that the retarding force is -2mv/(1+t), where u is the speed of m. If the mass starts from rest, find its speed, its acceleration, and how far it has fallen (in terms of g) when t = 1.

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30.
A mass m falls under gravity (force mg) through a liquid whose viscosity is decreasing
so that the retarding force is -2mv/(1+t), where v is the speed of m. If the mass
starts from rest, find its speed, its acceleration, and how far it has fallen (in terms
of g) when t = 1.
Transcribed Image Text:30. A mass m falls under gravity (force mg) through a liquid whose viscosity is decreasing so that the retarding force is -2mv/(1+t), where v is the speed of m. If the mass starts from rest, find its speed, its acceleration, and how far it has fallen (in terms of g) when t = 1.
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