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| PAGE: 429 | SET: Exercises | PROBLEM: 31 |
An object of mass 
is dropped from a height and the air resistance is proportional to the objects velocity is 
, where 
is a gravitational constant and 
is a proportional constant.
The solution of differential equation 
is 
.
Substitute 
, 
, 
, 
in 
.
.
Observe the graph :
The value of 
.
Substitute 
and in 
.
.
The limiting value of the velocity function 
.
.
The limiting value of the velocity function is 
.
.
The limiting value of the velocity function is .
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