(5 pts) A ferris wheel 40 meters in diameter and boarded at owest point (6 oCloc
ID: 3015833 • Letter: #
Question
(5 pts) A ferris wheel 40 meters in diameter and boarded at owest point (6 oClock) from a platfom which is 10 meters above ground. The wheel makes one full rotation every 12 min es, and at time (at 12 o'clocky. Let h -f(t) denote your height above ground in meters after t minutes. a) What is the period of the function period 12min Include u in your answer. (b) what is the midline of the function h (t? Include units in your answer. 80m What is the amplitude of the function h f(t? amplitude 70m Include un in your answer. d consider the six possible graphs of h f below. Be sure to enlarge each graph and carefully read the labels on the axes in order distinguish the key features of each graph. Which if any) of the graphs A-F represents two full revolutions of the ferris wheel plus the additional partial revolution needed to return to the loading platform of the ferris wheel described above? F Write a function f(t) that describes the height of the passenger as a fun on of time. Osin (pi/6x)+80 0 you are at the highest poi on the ferris wheelExplanation / Answer
the function can be written as
f(x) = A sin(Bx + C)+D
2pi/B = 12
B = pi/6
f(t) = 70 sin (pi/ 6 t)+80
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