revolves diameter ground A Ferris wheel is 28 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 16 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h (t). Enter the exact answers. Amplitude: A = Number meters Midline: h= Number meters Period: P = Number 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 40 minutes? Number 1 meter
revolves diameter ground A Ferris wheel is 28 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 16 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h (t). Enter the exact answers. Amplitude: A = Number meters Midline: h= Number meters Period: P = Number 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 40 minutes? Number 1 meter
Related questions
Question
![revolves
U
diameter
ground
A Ferris wheel is 28 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 16 minutes. The function h (t) gives a person's height in meters above the ground t
minutes after the wheel begins to turn.
a. Find the amplitude, midline, and period of h (t).
Enter the exact answers.
Amplitude: A = Number
meters
Midline: h= Number
meters
Period: P = Number
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 40 minutes?
Number
1 meter](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2da59d05-ea7a-47ad-8289-54dec09680e5%2F870d9dc0-e516-4eef-ab07-312c2e477b37%2F483lbdh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:revolves
U
diameter
ground
A Ferris wheel is 28 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 16 minutes. The function h (t) gives a person's height in meters above the ground t
minutes after the wheel begins to turn.
a. Find the amplitude, midline, and period of h (t).
Enter the exact answers.
Amplitude: A = Number
meters
Midline: h= Number
meters
Period: P = Number
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 40 minutes?
Number
1 meter
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