Sanders Bradley
09/15/2024 · Primary School

5) A Ferris Wheel with a radius of 14 m makes one revolution every 30 seconds. The bottom of the wheel is 2.5 m above the ground. a) Draw a graph to show how a person's height above the ground varies with time during 2 revolutions starting at the lowest point. b) Model the graph drawn in part (a) with a function. c) How does the equation change if the graph starts at the centre of rotation.

Upstudy ThothAI Solution

Tutor-Verified Answer

Quick Answer

The height function for the Ferris wheel starting at the lowest point is \( h(t) = 16.5 - 14 \cos\left(\frac{2\pi}{30} t\right) \). If the graph starts at the center of rotation, the function becomes \( h(t) = 16.5 + 14 \sin\left(\frac{2\pi}{30} t - \frac{\pi}{2}\right) \).

Step-by-step Solution

Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions