In Exercise 12 of Section 1.1, we saw that the velocity v

Chapter , Problem 43

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In Exercise 12 of Section 1.1, we saw that the velocity v of a freefalling skydiver is well modeled by the differential equation m dv dt = mg kv2, where m is the mass of the skydiver, g is the gravitational constant, and k is the drag coefficient determined by the position of the driver during the dive. (a) Find the general solution of this differential equation. (b) Confirm your answer to Exercise 12 of Section 1.1 by calculating the limit of v(t) as t .

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