• Support PF! Buy your school textbooks, materials and every day products Here!

Finding general solution for object falling in air

  • Thread starter andrey21
  • Start date
  • #1
466
0
1. Using separation of variables show that:
v' = (cd/M)(v^2) - g has a general solution of:

v = 20SQRT10 x ((1+Ae^(t/SQRT10)/(1-Ae^(t/SQRT10))



Homework Equations





The Attempt at a Solution


Have attempted numerous times with little success help appreciated!
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
Divide both sides by


[tex]\frac{cd}{M}v^2 - g [/tex]
 
  • #3
466
0
Just come to the correct answer and now is asking to find the terminal velocity. How would I go about doing that?
 
  • #4
rock.freak667
Homework Helper
6,230
31
Just come to the correct answer and now is asking to find the terminal velocity. How would I go about doing that?
That would be where the rate of change or velocity is zero.
 

Related Threads for: Finding general solution for object falling in air

  • Last Post
Replies
8
Views
9K
Replies
3
Views
2K
  • Last Post
Replies
1
Views
5K
Replies
2
Views
4K
Replies
8
Views
1K
Replies
3
Views
2K
Replies
20
Views
2K
Top