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Average velocity

  1. Apr 12, 2005 #1
    A spring-mass system moves according to the position function x(t)=Asint. What is the average velocty in the period 0<=t<=2s?

    so the velocity is [tex]v(t)=A \omega cost[/tex]
    how would I calculate the average velocity?

    [tex]\frac{A \omega cost |^2_0}{2}[/tex] ??
     
  2. jcsd
  3. Apr 12, 2005 #2

    dextercioby

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    Definition for the average velocity

    [tex] \bar{v}_{T}=\frac{1}{T}\int_{0}^{T} v(t) \ dt [/tex]


    Daniel.
     
  4. Apr 12, 2005 #3
    I get:
    [tex]\frac{\int_0^2Acost}{2}[/tex]
    [tex]\frac{Acos2-A}{2}[/tex]
     
  5. Apr 12, 2005 #4

    dextercioby

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    [tex]\int \cos t \ dt =\sin t +C [/tex]

    Daniel.
     
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