Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 50E
Related questions
Question
I need to know how this problem is explained. I am stuck.
![Solve the problems below. Copy the description of your Ferris wheel in the text box and include that as
part of your initial Discussion post in Brightspace. Using "copy" from here in Mobius and "paste" into
Brightspace should work.
Hint: This is similar to Question 48 in Section 8.1 of our textbook. We covered this section in "5-1
Reading and Participation Activities: Graphs of the Sine and Cosine Functions" in Module Five. You
can check your answers to part a and c to make sure that you are on the right track.
A Ferris wheel is 24 meters in diameter and completes 1 full revolution in 16 minutes.
revolves
diameter
1 meter
ground
A Ferris wheel is 24 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 =
12
meters
Midline: h =
13
meters
Period: P =
16
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 44 minutes?
13](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fb6fbe8-c93b-4e2e-8100-eedf21471e21%2Fbdffb8e6-a8bb-42d5-9375-e56849120670%2Fxd4u2jt_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the problems below. Copy the description of your Ferris wheel in the text box and include that as
part of your initial Discussion post in Brightspace. Using "copy" from here in Mobius and "paste" into
Brightspace should work.
Hint: This is similar to Question 48 in Section 8.1 of our textbook. We covered this section in "5-1
Reading and Participation Activities: Graphs of the Sine and Cosine Functions" in Module Five. You
can check your answers to part a and c to make sure that you are on the right track.
A Ferris wheel is 24 meters in diameter and completes 1 full revolution in 16 minutes.
revolves
diameter
1 meter
ground
A Ferris wheel is 24 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 =
12
meters
Midline: h =
13
meters
Period: P =
16
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 44 minutes?
13
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