Initial Value Question

  • Thread starter char808
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  • #1
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Homework Statement



Find the position function with the given initial position.

v(t) = 5t1/3 s(0)=5

Homework Equations





The Attempt at a Solution



Find the anti derivative

15/4t4/3 + c

s(0) = 15/4t4/3 + c
5 = 0 + c I'm assuming since s(0) = 5 I just substitute 5 for s(0) here
c=5


s(t) = 15/4t4/3 +5
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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Yes that is correct.
 
  • #3
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So if s(1) = 10


s(1) = (15/4)(1)^4/3 + c
10 = 15/4 + c
c = 25/4

(just trying to clear up my understanding of these types of problems. thank you for the help.)
 
  • #4
rock.freak667
Homework Helper
6,230
31
So if s(1) = 10


s(1) = (15/4)(1)^4/3 + c
10 = 15/4 + c
c = 25/4

(just trying to clear up my understanding of these types of problems. thank you for the help.)

Yep.
 

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