Solved: Suppose that a body moves through a resisting
Chapter , Problem 2(choose chapter or problem)
Suppose that a body moves through a resisting medium with resistance proportional to its velocity v, so that dv=dt D kv. (a) Show that its velocity and position at time t are given by v.t / D v0ek t and x.t / D x0 C v0 k .1 ek t/: (b) Conclude that the body travels only a finite distance, and find that distance. 3. S
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