A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 12 minutes. revolves 1 meter ground 0 A Ferris wheel is 26 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 12 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. Enter the exact answers. a. Find the amplitude, midline, and period of h (t). Amplitude: A = Number Midline: h= Number Period: P = Number diameter meters meters minutes b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t 0. Find a formula for the height function h (t). = Hints: • What is the value of h (0)? • Is this the maximum value of h (t), the minimum value of h (t), or a value between the two? • The function sin (t) has a value between its maximum and minimum at t = 0, so can h (t) be a straight sine function? • The function cos (t) has its maximum at t = = 0, so can h (t) be a straight cosine function? c. If the Ferris wheel continues to turn, how high off the ground is a person after 30 minutes? Number
A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 12 minutes. revolves 1 meter ground 0 A Ferris wheel is 26 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 12 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. Enter the exact answers. a. Find the amplitude, midline, and period of h (t). Amplitude: A = Number Midline: h= Number Period: P = Number diameter meters meters minutes b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t 0. Find a formula for the height function h (t). = Hints: • What is the value of h (0)? • Is this the maximum value of h (t), the minimum value of h (t), or a value between the two? • The function sin (t) has a value between its maximum and minimum at t = 0, so can h (t) be a straight sine function? • The function cos (t) has its maximum at t = = 0, so can h (t) be a straight cosine function? c. If the Ferris wheel continues to turn, how high off the ground is a person after 30 minutes? Number
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 12 minutes.
revolves
1 meter
ground
0
A Ferris wheel is 26 meters in diameter and boarded from a platform that is 1 meter above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1
full revolution in 12 minutes. The function h (t) gives a person's height in meters above the ground t
minutes after the wheel begins to turn.
Enter the exact answers.
a. Find the amplitude, midline, and period of h (t).
Amplitude: A = Number
Midline: h= Number
Period: P = Number
diameter
meters
meters
minutes
b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel
starts spinning at time t 0. Find a formula for the height function h (t).
=
Hints:
• What is the value of h (0)?
• Is this the maximum value of h (t), the minimum value of h (t), or a value between the two?
• The function sin (t) has a value between its maximum and minimum at t = 0, so can h (t) be a
straight sine function?
• The function cos (t) has its maximum at t
=
= 0, so can h (t) be a straight cosine function?
c. If the Ferris wheel continues to turn, how high off the ground is a person after 30 minutes?
Number
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