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 =g- dt dV mv² =g+ k II → dt k dV = m – –V² dt III → - - dV k g--V dt IV → %3D m V → dV = mg – kV -

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 =g- dt dV mv² =g+ k II → dt k dV = m – –V² dt III → - - dV k g--V dt IV → %3D m V → dV = mg – kV -

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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