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

  • Thread starter hogrampage
  • Start date
  • #1
108
1

Homework Statement


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

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

Homework Equations




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!
 

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Answers and Replies

  • #2
NascentOxygen
Staff Emeritus
Science Advisor
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1,071
It seems that your answer is correct.
 
  • #3
108
1
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.
 
  • #4
rude man
Homework Helper
Insights Author
Gold Member
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717
Looks right to me too.
 

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