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3. A body is coasting to a stop and the only force acting on it isa resistance proportional to its speed, according to the

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3. A body is coasting to a stop and the only force acting on it isa resistance proportional to its speed, according to the = voe ; s(o) = 0, where Vo is the body's initial velocity (in m/s), is its final velocity, m is its equation mass, k is a constant, and t is time. (a) If a body with mass m = 50 kg and k = 1.5 kg/sec initially has a velocity of 30 m/s, how long, to the nearest sec- ond, will it take to slow to 1 m/s? (b) How far, to the 10 nearest meters, will the body coast during the time it takes to slow from 30 m/s to I m/s? (c) If the body coasts from 30 m/s to a stop, how far will it coast?

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