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Express y(t) as a function of x(t)

  1. Aug 31, 2013 #1
    1. The problem statement, all variables and given/known data
    Express y(t) as a function of x(t).

    https://www.physicsforums.com/attachment.php?attachmentid=61309&d=1378005939

    2. Relevant equations


    3. The attempt at a solution
    Transformations:
    -x(t)
    0.5x(t)
    x(2t)
    x(t-2)
    x(t)+1.5

    ∴y(t) = -0.5x(2t-4)+1.5

    Here is the plot:

    attachment.png

    As seen in the plot above, it is different from the figure in the book (P2.4(b)) on the time interval 4 < t < 5. Where am I going wrong?

    Thanks!
     

    Attached Files:

    Last edited: Sep 1, 2013
  2. jcsd
  3. Sep 1, 2013 #2

    NascentOxygen

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    Staff: Mentor

    It seems that your answer is correct.
     
  4. Sep 1, 2013 #3
    I just noticed that the time scale for 4 < t < 5 remains the same for the figure in the book. I know the time scale is compressed by 0.5 up until t = 4. So, is the book's figure supposed to look like my plot instead? It seems impossible to express y(t) as a function of x(t) if I use the figure in the book.
     
  5. Sep 4, 2013 #4

    rude man

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    Homework Helper
    Gold Member

    Looks right to me too.
     
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