You bail out of a helicopter and pull the ripcord of your parachute. Now the air resistance proportionality constant is kequals1.73​, 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. StartFraction dv Over dt EndFraction equals32 minus 1.73 v​, ​v(0)equals0