You bail out of the helicopter of Example 3 and pull the ripcord of your parachute. Now k...

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

In order to investigate your chances of survival, construct slope a 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?