Question 1100458
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Part A


To find the amplitude, first find the vertical distance from the highest point to the lowest point. This distance is 3 (since 4-1 = 3, where 1 represents the lowest point and 4 is the highest point). 


Cut this value in half to get 3/2 = 1.5


Therefore the amplitude is 1.5


This is the distance from the vertical center point to either the peak point or the lowest point. 


Side Note: this is the value of 'a' in the equation  h = a*sin(kt) + c


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Part B


Find the midpoint of 1 and 4 to get (1+4)/2 = 5/2 = 2.5


The vertical translation is therefore 2.5 meaning that the center part of the ride is 2.5 meters above the ground.


Side Note: this is the value of 'c' in the equation  h = a*sin(kt) + c


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Part C


You are correct. Nice work. 


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Part D


From part C, the period is 60 seconds. 


T = period


T = 60


We'll use this value of T to find the value of k


T = 2pi/k


60 = 2pi/k


60k = 2pi


k = 2pi/60


k = pi/30


This is assuming you want the value of k in radians. 


If you want it in degrees, then multiply pi/30 by the conversion factor 180/pi to get (pi/30)*(180/pi) = 6


So k = pi/30 if you are in radian mode, or k = 6 if you are in degree mode.
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