An Object with Mass $m$ Is Dropped from Rest and We Assume That the Air

question 44

Short Answer

An object with mass $m$ is dropped from rest and we assume that the air resistance is proportional to the speed of the object. If $s ( t )$ is the distance dropped after $t$ seconds, then the speed is $v = s ^ { \prime } ( t )$ and the acceleration is $a = v ^ { \prime } ( t )$ . If $g$ is the acceleration due to gravity, then the downward force on the object is $m g - c v$ , where $c$ is a positive constant, and Newton's Second Law gives $m \frac { d v } { d t } = m g - c v$ . Find the limiting velocity.

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Social Partnership

A collaborative relationship between government, employers, and labor unions aimed at addressing economic and social issues in a cooperative rather than confrontational manner.

Union Density Rate

The percentage of workers in a specific area or industry that are members of labor unions.

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