For high-speed motion through the air—such as the skydiver shown in Figure 1.3.15, falli...

For high-speed motion through the air—such as the skydiver shown in Figure 1.3.15, 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.