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9 Nov 2021
Given information
Since raindrops grow as they fall, their surface area increases and therefore the resistance to their falling increases.
A raindrop has an initial downward velocity of 
and its downward acceleration is
raindrop is initially 
above the ground.
Step-by-step explanation
Step 1.
We know that velocity change gives acceleration. So velocity 
is antiderivative of 
.
We have the following velocity function
where 
and 
are constants.
Now initial velocity, that at 
we have 
Hence substituting and we have
Therefore we have the following velocity function
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40a
- Problem 40b
- Problem 40c
- Problem 40d
- Problem 41
- Problem 42
- Problem 43a
- Problem 43b
- Problem 43c
- Problem 43d
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54a
- Problem 54b
- Problem 55a
- Problem 55b
- Problem 55b
- Problem 56
- Problem 57a
- Problem 57b
- Problem 57c
- Problem 57d
- Problem 58a
- Problem 58b
- Problem 58c