# 9 Section 2.1 Traversing Circles

a. What is the period of the paddle? Include units.

b. What is the midline of the paddle? Include units.

c. What is the amplitude of the paddle? Include units.

d. At what height will the paddle be after 13.5 minutes?

## Show Solution

**Answers**

a. 2 minutes

b. y=10 feet

c. 5 feet

d. 13.5 minutes corresponds to paddle traveling 5 times around plus continuing for another 3.5 minutes. This means the height of the paddle is 5 feet at 13.5 minutes.

2. A child built a model of a Ferris wheel for their toys, and gives them rides. Time is in seconds, and height above the ground is in inches.

t |
0 | 0.25 | 0.50 | 0.75 | 1 | 1.25 | 1.50 | 1.75 | 2 | 2.25 | 2.50 | 2.75 | 3 |

h |
4 | 2.585 | 6 | 2.585 | 4 | 5.4142 | 2 | 5.4142 | 4 | 2.5858 | 6 | 2.5858 | 4 |

a. What is the period? Include units.

b. What is the midline? Include units.

c. What is the amplitude? Include units.

d. The child’s special blue cat is loaded onto the Ferris wheel at time 0 seconds; what is its height at 8.75 seconds?

## Show Solution

**Answers**

a. 2 seconds

b. h=4 inches

c. 2 inches

d. The blue cat will be at 2.5858 feet, having traveled around the Ferris wheel 8 full times, plus an additional 0.75 seconds.