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

question 2

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 $v = s ^ { t } ( t )$ 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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Definitions:

Contrast Error

Occurs when we compare people against one another instead of against an objective standard.

Nonrelevancy Error

An error made during the employee appraisal process where information irrelevant to job performance influences the evaluation.

First-impression Error

is a bias in evaluation or judgment where early information or initial impressions unduly influence someone's perception of another person or situation.

On-the-job Training

A method of professional development where employees acquire skills and knowledge during the course of their regular work activities, often under the guidance of experienced colleagues.