I need to know how this problem is explained. I am stuck. ### Educational Transcription: Ferris Wheel Problem---**Problem Description**Solve the problems below, and ensure to copy the description of your Ferris wheel into your initial discussion post in Brightspace. You can "copy" from here in Mobius and "paste" into Brightspace. Refer to Question 48 in Section 8.1 of your textbook, particularly Module Five's "Graphs of the Sine and Cosine Functions," to verify your answers.---**Ferris Wheel Details**- **Diameter:** 24 meters- **Revolution Time:** 16 minutes**Visual Diagram Explanation**The image depicts a Ferris wheel with the following details:- **Diameter:** 24 meters- **Platform Height:** 1 meter above the ground- **Revolution Direction:** ClockwiseThe structure has a radial line indicating the diameter, a ground line showing the height of 1 meter, and several pods illustrating the positions during rotation.---**Mathematical Problem**A function $ h(t) $ gives a person’s height, in meters above the ground, $ t $ minutes after the Ferris wheel begins to turn.### Tasks#### a. Find the amplitude, midline, and period of $ h(t) $.- **Amplitude:** $ A = 12 $ meters- **Midline:** $ h = 13 $ meters- **Period:** $ P = 16 $ minutes#### b. Determine a formula for the height function $ h(t) $.**Hints:**- Evaluate $ h(0) $. Is it a maximum, minimum, or between?- Consider if $ h(t) $ can be a sine function since $ \sin(t) $ is between its max and min at $ t = 0 $.- Examine if $ h(t) $ can be a cosine function since $ \cos(t) $ is at its maximum when $ t = 0 $.#### c. Calculate height above ground after 44 minutes.- After continued revolutions, calculate the height at $ t = 44 $ minutes.**Height Answer:** 13 meters---This transcription is crafted for educational purposes, guiding students on how to analyze circular motion problems involving trigonometric functions using Ferris wheels.

A Ferries Wheel is 24 meters in diameter and complete 1 full revolution in 16 minutes. Also given…

Answered: A Ferris wheel is 24 meters in diameter…

Math

Calculus

A Ferris wheel is 24 meters in diameter and completes 1 full revolution in 16 minutes.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

I need to know how this problem is explained. I am stuck.

### Educational Transcription: Ferris Wheel Problem

---

**Problem Description**

Solve the problems below, and ensure to copy the description of your Ferris wheel into your initial discussion post in Brightspace. You can "copy" from here in Mobius and "paste" into Brightspace. Refer to Question 48 in Section 8.1 of your textbook, particularly Module Five's "Graphs of the Sine and Cosine Functions," to verify your answers.

---

**Ferris Wheel Details**

- **Diameter:** 24 meters
- **Revolution Time:** 16 minutes

**Visual Diagram Explanation**

The image depicts a Ferris wheel with the following details:
- **Diameter:** 24 meters
- **Platform Height:** 1 meter above the ground
- **Revolution Direction:** Clockwise

The structure has a radial line indicating the diameter, a ground line showing the height of 1 meter, and several pods illustrating the positions during rotation.

---

**Mathematical Problem**

A function $ h(t) $ gives a person’s height, in meters above the ground, $ t $ minutes after the Ferris wheel begins to turn.

### Tasks

#### a. Find the amplitude, midline, and period of $ h(t) $.

- **Amplitude:** $ A = 12 $ meters
- **Midline:** $ h = 13 $ meters
- **Period:** $ P = 16 $ minutes

#### b. Determine a formula for the height function $ h(t) $.

**Hints:**
- Evaluate $ h(0) $. Is it a maximum, minimum, or between?
- Consider if $ h(t) $ can be a sine function since $ \sin(t) $ is between its max and min at $ t = 0 $.
- Examine if $ h(t) $ can be a cosine function since $ \cos(t) $ is at its maximum when $ t = 0 $.

#### c. Calculate height above ground after 44 minutes.

- After continued revolutions, calculate the height at $ t = 44 $ minutes.

**Height Answer:** 13 meters

---

This transcription is crafted for educational purposes, guiding students on how to analyze circular motion problems involving trigonometric functions using Ferris wheels.

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