damped sine curve help

ok so i have to do this assignment,
Attachment 26049

ok so i graphed all the data given and i got the following,
Attachment 26050

and i came up with the conclusion that this is a damped sine function which should be in the form of f(x) = A*sin(Bx-C) + D and thus the paremeters are A(amplitude), B(shrink or stretch), C(horizontal shift), and D(vertical shift) however since this has a changing amplitude and period i'm confused on how to approach it.... since it suggests i use a combination of functions i thought if i find the amplitude then i can make an equation of line with amplitude against time and then do the same with period... im really confused...please help as soon as possible thank you very much!

Quote:

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Originally Posted by bakerkhojah

ok so i have to do this assignment,
Attachment 26049

ok so i graphed all the data given and i got the following,
Attachment 26050

and i came up with the conclusion that this is a damped sine function which should be in the form of f(x) = A*sin(Bx-C) + D and thus the paremeters are A(amplitude), B(shrink or stretch), C(horizontal shift), and D(vertical shift) however since this has a changing amplitude and period i'm confused on how to approach it.... since it suggests i use a combination of functions i thought if i find the amplitude then i can make an equation of line with amplitude against time and then do the same with period... im really confused...please help as soon as possible thank you very much!

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A damped sine function would typically be of the form . You can provide the fit for horizontal displacement, etc.

-Dan