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A Ferris wheel is 25 meters in diameter and boarded from aplatform that is 1 meter above the ground. The six o’clock positionon the Ferris wheel is level with the loading platform. The wheelcompletes 1 full revolution in 10 minutes. The functionh(t) gives a person’s height in meters above theground t minutes after the wheel begins to turn.
- Find the amplitude, midline, and period ofh(t).
- Find the domain and range of the functionh(t) and
- Find a formula for the height functionh(t).
- State the phase shift and vertical translation
- How high off the ground is a person after 5 minutes?
- what would happen if the diameter of the Ferris wheelincreases?
- The time it takes the ferris wheel to complete one fullrevolution decreases?