Exploring Ferris Wheel Height Modeling

The video tutorial explains how to model the height of a Ferris wheel rider using a cosine function. It covers the Ferris wheel's dimensions, plotting key points on a graph, and deriving the cosine function equation. The tutorial also demonstrates calculating the rider's height at specific times and solving for when the rider reaches a height of 15 meters.

What is the diameter of the Ferris wheel described in the video?

• 17 meters

• 32 meters

• 30 meters

• 15 meters

How high above the ground is the center of the Ferris wheel?

• 32 meters

• 30 meters

• 15 meters

• 17 meters

At what time does the rider reach the highest point of the Ferris wheel?

• 15 seconds

• 45 seconds

• 60 seconds

• 30 seconds

What is the height of the rider at the start of the ride?

• 15 meters

• 2 meters

• 17 meters

• 32 meters

What is the amplitude of the cosine function used to model the Ferris wheel?

• 15

• 17

• 32

• -15

What is the period of the cosine function derived for the Ferris wheel?

• π/15

• 60

• π/30

• 2π/30

What is the vertical shift, C, in the cosine function equation?

• 0

• 17

• 15

• -15

What is the value of 'A' in the cosine function equation for the Ferris wheel?

• 32

• 15

• -15

• 17

At 45 seconds, what is the height of the rider?

• 17 meters

• 32 meters

• 15 meters

• 2 meters

At what times is the rider at a height of 15 meters?

• 0 seconds and 30 seconds

• 30 seconds and 60 seconds

• 15 seconds and 45 seconds

• 13.7 seconds and 46.3 seconds