An object of mass m falls from rest, starting at a point near the eart's surface. Assuming that the air resistance is proportional to the velocity magnitude of the object. k(resistance coefficient), m(mass), g(gravity) are positive constants Find the velocity of the object in the form of t. what is the differantial equation to solve this problem? dV I→ dt k | m E II dt dV =g+V? k dV III = m k dt dV IV → dt k g--V m dV V →* = dt mg – kV %3D 60

An object of mass m falls from rest, starting at a point near the eart's surface. Assuming that the air resistance is proportional to the velocity magnitude of the object. k(resistance coefficient), m(mass), g(gravity) are positive constants Find the velocity of the object in the form of t. what is the differantial equation to solve this problem? dV I→ dt k | m E II dt dV =g+V? k dV III = m k dt dV IV → dt k g--V m dV V →* = dt mg – kV %3D 60

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 61P

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