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Velocity in a Resisting Medium The velocity v of an object falling through a resisting medium such as air or water is given by Voke-kr 32 V = k e-kt + 32 where vo is the initial velocity, t is the time in seconds, and k is the resistance constant of the medium. Use L'Hôpital's Rule to find the formula for the velocity of a falling body in a vacuum by fixing v, and t and letting k approach zero. (Assume that the downward direction is positive.)

Velocity in a Resisting Medium The velocity v of an object falling through a resisting medium such as air or water is given by Voke-kr 32 V = k e-kt + 32 where vo is the initial velocity, t is the time in seconds, and k is the resistance constant of the medium. Use L'Hôpital's Rule to find the formula for the velocity of a falling body in a vacuum by fixing v, and t and letting k approach zero. (Assume that the downward direction is positive.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Velocity in a Resisting Medium The velocity v of an object falling through a resisting medium such as air or water is given by Voke-kr 32 V = k e-kt + 32 where vo is the initial velocity, t is the time in seconds, and k is the resistance constant of the medium. Use L'Hôpital's Rule to find the formula for the velocity of a falling body in a vacuum by fixing v, and t and letting k approach zero. (Assume that the downward direction is positive.)
Transcribed Image Text:Velocity in a Resisting Medium The velocity v of an object falling through a resisting medium such as air or water is given by Voke-kr 32 V = k e-kt + 32 where vo is the initial velocity, t is the time in seconds, and k is the resistance constant of the medium. Use L'Hôpital's Rule to find the formula for the velocity of a falling body in a vacuum by fixing v, and t and letting k approach zero. (Assume that the downward direction is positive.)
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