You bail out of the helicopter of Example 3 and pull the ripcord of your parachute. Now k = 1.6 in Eq. (3), so your downward velocity satisfies the initial value problem

In order to investigate your chances of survival, construct a slope field for this differential equation and sketch the appropriate solution curve. What will your limiting velocity be? Will a strategically located haystack do any good? How long will it take you to reach 95% of your limiting velocity?

Example 3

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dv dt = 32 1.6v, v (0) = 0.