A particle of mass m moving through a fluid is is subjected to a viscous resistance R, which is a function of the velocity v. The relationship between the resistance R, velocity v, and time t is given by the equation: pu(t) m du. v(e) R(u) Suppose that R(v) = -v/v for a particular fluid, where R is in newtons and v is in meters/second. If m = 10 kg and v(0) = 10 m/s, approximate the time required for the particle to slow to v = 5 m/s.

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