an air diver with a mass 80 kg jumps from a plane in the air. He opens his parachute when the velocity reaches 160 km/hr creating an air resistance that is proportional to the falling velocity v(t). Let the acceleration due to gravity be 9.81 m/s^2 and the proportionality constant is 5

(a) use newtons second law of motion to establish a DE satisfied by the velocity v(t) with is a first order initial value problem

(B) slove the IVP to find the velocity at time t

(C) what is the limiting velocity