Question

30 points!!!!!!

The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.


QUESTION- What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel

Answer 1

period 2/3

Explanation:

Answer 2

`period=(2)/(3)`

Explanation:

we are given equation for height as

`h=82.5sin(3\pi (t+0.5))+97.5`

where

The height above ground, h, of a passenger on the ride is a periodic function of time, t

We can use period formula

`y=Acos(B(t+C))+D`

`period=(2\pi)/(B)`

Firstly, we can compare and find B

`B=3\pi`

now, we can find time period

`period=(2\pi)/(3\pi)`

`period=(2)/(3)`

Interpretation:

we know that time period is the time after which value starts repeating itself

Since, period =2/3

It means that after 2/3 min , the height of passenger will be same