(Skydiver) Two forces act on a parachutist, the attraction

Chapter 1, Problem 1.2

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(Skydiver) Two forces act on a parachutist, the attraction by the earth mg (/1/ = mass of person plus equipment. g = 9.8 m/sec2 the acceleration of gravity) and the air resistance, assumed to be proportional to the square of the velocity vet). Using Newton's second law of motion (mass X acceleration = resultant of the forces), set up a model (an ODE for v(t. Graph a direction field (choosing III and the constant of proportionality equal to 1). Assume that the parachute opens when v = 10m/sec. Graph the corresponding solution in the field. What is the limiting velocity?

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