You bail out of a helicopter and pull the ripcord of your parachute. now the air resistance proportionality constant is kequals1.56, so your downward velocity satisfies the initial value problem below, where v is measured in ft/s and t in seconds. 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.