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or th0 q0e (2 points) A ferris wheel is 70 meters in diameter and boarded at its

ID: 2920942 • Letter: O

Question

or th0 q0e (2 points) A ferris wheel is 70 meters in diameter and boarded at its lowest point (6 O'Clock) from a platform which is 10 meters above ground. The wheel makes one full rotation every 24 minutes, and at time t = O you are at the highest point on the ferris wheel (at 12 OClock. Let h = 1) denote your height above ground in meters after t minutes. (a) What is the period of the function h-f period - Include units in your answer (b) What is the midline of the function h -f0 Include units in your answer of the function h f()? (c) What is the amplitude Include units in your answer.

Explanation / Answer

lowest position =10meters, highest position =10+70=80meters

(a)

given wheel maves one rotation every 24 minutes

period of function = 24 minutes

(b)

midline,h=(10+80)/2

=>h=45

h=45 meters

(c)

amplitude=(80-10)/2

=>amplitude=35

amplitude =35 meters

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