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Jackson gets on a ferris wheel at its lowest point which is 10 feet above the ground

He notices that he is 50 feet above the ground at his highest point

it takes jackson 40 seconds to make one revolution

-what is the period of the function

-what is the amplitude of the function

-what is the midline of the function?

-lastly what is the equation that models the sinusoidal function?

 Apr 30, 2019
 #1
avatar+100586 
+2

The period  = 40 seconds

The ampllitude  is  (50 - 10 ) / 2   =  40/2  = 20

The midline  =  (50 + 10) / 2  = (60/2)  =  30

 

We have the following form

 

y  = A sin (B t) + C

 

A = the amplitude = 20

B =  2pi / period  =  [ 2pi / 40 ]  =  pi/20

C =  the midline value = 30

 

So....the  function is

 

y  = 20sin [ pi * t / 20 ] + 30

 

Here's the graph  : https://www.desmos.com/calculator/w7j1brsd5f

 

 

cool cool cool

 Apr 30, 2019

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