A Ferris wheel is 50 meters in diameter and rotates once every three minutes. The center axle of the Ferris wheels is 30 meters from the ground. Assume the wheel starts rotating when the passenger is at the bottom of the Ferris wheel. 1. Find the height of a passenger on the Ferris wheel after each of the following times. Please show how you got your answers. (You can insert images of your work if necessary). a. O minutes (when a passenger gets on the Ferris wheel b. 1 minute and 30 seconds c. 3 minutes and 45 seconds d. 7 minutes
A Ferris wheel is 50 meters in diameter and rotates once every three minutes. The center axle of the Ferris wheels is 30 meters from the ground. Assume the wheel starts rotating when the passenger is at the bottom of the Ferris wheel. 1. Find the height of a passenger on the Ferris wheel after each of the following times. Please show how you got your answers. (You can insert images of your work if necessary). a. O minutes (when a passenger gets on the Ferris wheel b. 1 minute and 30 seconds c. 3 minutes and 45 seconds d. 7 minutes
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Transcribed Image Text:Ferris Wheel
A Ferris wheel is 50 meters in diameter and rotates once every three minutes.
The center axle of the Ferris wheels is 30 meters from the ground.
Assume the wheel starts rotating when the passenger is at the bottom of the Ferris wheel.
1. Find the height of a passenger on the Ferris wheel after each of the following times.
Please show how you got your answers. (You can insert images of your work if necessary).
a. O minutes (when a passenger gets on the Ferris wheel
b. 1 minute and 30 seconds
c. 3 minutes and 45 seconds
d. 7 minutes
2. Using the axes below, sketch a graph to show how the height of a passenger will vary with time.
You can use this Desmos Activity to sketch a graph. Please take a screenshot of your sketch and
insert it here.
90
80
Height
in
70
meters
60 -
50 -
40-
30
20
10-
Transcribed Image Text:d. 7 minutes
2. Using the axes below, sketch a graph to show how the height of a passenger will vary with time.
You can use this Desmos Activity to sketch a graph. Please take a screenshot of your sketch and
insert it here.
90
Height 80
in
70
meters
60
50
40
30
20
10
3
4
6.
7
8
Time in minutes
3. A mathematical model for this motion is given by the formula:
h = a+b cos ct where h = the height of a passenger in meters.
t= the time that has elapsed in minutes.
Find values for a, b, and c that will model this situation.
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