Terminal Velocity In Section 1.3 we saw that the autonomous differential equation

M dv/dt = mg - kv,

where k is a positive constant and g is the acceleration due to gravity, is a model for the velocity v of a body of mass m that is falling under the influence of gravity. Because the term 2kv represents air resistance, the velocity of a body falling from a great height does not increase without bound as time t increases. Use a phase portrait of the differential equation to fi­nd the limiting, or terminal, velocity of the body. Explain your reasoning.