Fitzgerald Huang
09/03/2023 · High School

ferris wheel of radius 25 metres, placed one meter above the ground, varies sinusoidally with time. The erris wheel makes one rotation every 24 seconds. Adam is sitting 26 metres from the ground and rising ven it starts to rotate. a. Write a sinusoidal function that describes the function from Adam's starting position. b. How high above the ground would a person be 16 seconds after the ferris wheel starts moving? c. How many seconds on each rotation is a person more than 35 metres in the air?

Upstudy ThothAI Solution

Tutor-Verified Answer

Quick Answer

a. The sinusoidal function is \( h(t) = 25 \cos\left(\frac{\pi}{12} t\right) + 26 \). b. 16 seconds after starting, a person would be about 13.5 meters above the ground. c. A person is more than 35 meters in the air for about 13.32 seconds during each rotation.

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