For high-speed motion through the airsuch as the skydiver shown in FIGURE 1.3.16 falling

Chapter 1, Problem 17

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For high-speed motion through the air—such as the skydiver shown in FIGURE 1.3.16 falling before the parachute is opened— air resistance is closer to a power of the instantaneous velocity v(t). Determine a differential equation for the velocity v(t) of a falling body of mass m if air resistance is proportional to the square of the instantaneous velocity.

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