Problem 5 Suppose an object moves through a resisting medium with resistance proportional to its velocity v, so that d = -5v. dt 1. Find its velocity. Assume that it starts with zero initial velocity. 2. Find its position. Assume that it starts from zero initial displacement. 3. How far does it move before it almost stops. That is, find the limit of its position as t→∞0. Solution:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
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Problem 5 Suppose an object moves through a resisting medium with resistance proportional to its
velocity v, so that = -5v.
1. Find its velocity. Assume that it starts with zero initial velocity.
2. Find its position. Assume that it starts from zero initial displacement.
3. How far does it move before it almost stops. That is, find the limit of its position as t→∞0.
Solution:
Transcribed Image Text:Problem 5 Suppose an object moves through a resisting medium with resistance proportional to its velocity v, so that = -5v. 1. Find its velocity. Assume that it starts with zero initial velocity. 2. Find its position. Assume that it starts from zero initial displacement. 3. How far does it move before it almost stops. That is, find the limit of its position as t→∞0. Solution:
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