Question

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.

Answer 1

`T=(2)/(3)`

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

Explanation:

We are given height function as

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

where

h is the height above the ground

t is the time

we can compare it with standard equation

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

Period formula is

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

now, we can compare and find B

`B=3\pi`

we can find period

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

`T=(2)/(3)`

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes