6. A skydiver of mass m = 60 kg leaps from a plane with an initial upward velocity of vo = +5 m/s. Assume the diver experiences air resistance proportional and oppositely directed to their velocity, expressed by the drag coefficient b = 11 N/(m/s). Also assume acceleration due to gravity is constant, given by g = 9.8 m/s². The velocity of the diver changes with time, modeled by the following differential equation: m = -mg - bv du dt Solve for v(t) = the velocity of the diver at time t, and determine the diver's terminal velocity: lim v(t) t-x

6. A skydiver of mass m = 60 kg leaps from a plane with an initial upward velocity of vo = +5 m/s. Assume the diver experiences air resistance proportional and oppositely directed to their velocity, expressed by the drag coefficient b = 11 N/(m/s). Also assume acceleration due to gravity is constant, given by g = 9.8 m/s². The velocity of the diver changes with time, modeled by the following differential equation: m = -mg - bv du dt Solve for v(t) = the velocity of the diver at time t, and determine the diver's terminal velocity: lim v(t) t-x

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

See similar textbooks