Terminal Velocity Problem: A sky diver jumps from an airplane. During the free-fall

Chapter 7, Problem 12

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Terminal Velocity Problem: A sky diver jumps from an airplane. During the free-fall stage, her speed increases at the acceleration of gravity, about 32.16 (ft/s)/s. But wind resistance causes a force that reduces the acceleration. The resistance force is proportional to the square of the velocity. Assume that the constant of proportionality is 0.0015 so that where v is her velocity, in feet per second, and t is the time she has been falling, in seconds. The slope field for this differential equation is shown in Figure 7-4n, on the next page.

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