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Mathematics 14 Online
OpenStudy (anonymous):

Question deleted.

OpenStudy (anonymous):

Can you create a function to describe the motion of the buoy?

OpenStudy (anonymous):

@heril I'm not sure how to create the function :/

OpenStudy (anonymous):

Well, the general form for a periodic function is \(y=A\sin(Bt+C) +D\). A is the amplitude, B is based on the period, C is the phase shift and D is the vertical shift(the mean in this case)

OpenStudy (anonymous):

I know that B = 2pi/3.5

OpenStudy (anonymous):

So what is the amplitude of the wave here?

OpenStudy (anonymous):

0.2?

OpenStudy (anonymous):

Correct. And what is the mean position?

OpenStudy (anonymous):

1.6.

OpenStudy (anonymous):

So, if t=0, then y= the mean. Do you have the position function now?

OpenStudy (anonymous):

y= 0.2sin(2pi/3.5 t) +1.6 ?

OpenStudy (anonymous):

Correct. Do you know how to get the acceleration function from that?

OpenStudy (anonymous):

differentiate the function two times?

OpenStudy (anonymous):

Correct

OpenStudy (anonymous):

Coolies. Thank you very much :)

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