As we saw in Exercise 12 of Section 1.1, the velocity v of
Chapter , Problem 12(choose chapter or problem)
As we saw in Exercise 12 of Section 1.1, 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 = 9.8 m/s2 is the gravitational constant, and k is the drag coefficient determined by the position of the diver during the dive. Consider a diver of mass m = 54 kg (120 lb) with a drag coefficient of 0.18 kg/m. Use Eulers method to determine how long it will take the diver to reach 95% of her terminal velocity after she jumps from the plane. [Hint: Use the formula for terminal velocity that was derived in Exercise 12 of Section 1.1.]
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