Question

A ferris wheel is 10 meters in diameter and boarded from a
platform that is 4 meters above the ground. The six o'clock
position on the ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 6 minutes. The function
*h = f(t)* gives your height in meters above the ground
*t* minutes after the wheel begins to turn.

What is the Amplitude? _________ meters

What is the Midline? y = _________ meters

What is the Period? ________ minutes

How High are you off of the ground after 3 minutes? meters

Answer #1

Minimum height of a ferris wheel above the ground,
h_{min} = 4 m

Diameter of a ferris wheel, D = 10 m

(i) The amplitude which will be given by -

A = D / 2

A = [(10 m) / (2)]

**A = 5 m**

(ii) The midline which will be given by -

y = h_{min} + A

y = [(4 m) + (5 m)]

**y = 9 m**

(iii) How High are you off of the ground after 3 minutes?

h (t) = - A Cos t + y

where, = angular frequency = 2 / T

h = - (5 m) cos {[(2) / (6 min)] (3 min)} + (9 m)

h = - (5 m) cos () + (9 m)

h = [(5 m) + (9 m)]

**h = 14 m**

A ferris wheel is 25 meters in diameter and boarded from a
platform that is 1 meters above the ground. The six o'clock
position on the ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 4 minutes. The function h
= f(t) gives your height in meters above the ground t minutes after
the wheel begins to turn. Write an equation for h = f(t).

A ferris wheel is 40 meters in diameter and boarded from a
platform that is 5 meters above the ground. The six o'clock
position on the ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes. The function h
= f(t) gives your height in meters above the ground t minutes after
the wheel begins to turn. Write an equation for h = f(t)

How do I solve this?
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platform that is 2 meters above the ground. The six o'clock
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The wheel completes 1 full revolution in 4 minutes. The function h
= f(t) gives your height in meters above the ground t minutes after
the wheel begins to turn. Write an equation for h = f(t).

A Ferris wheel is 40 meters in diameter and boarded from a
platform that is 4 meters above the ground. The six o'clock
position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 4 minutes. How many
minutes of the ride are spent higher than 42 meters above the
ground?
minutes

A Ferris wheel is 20 meters in diameter and boarded from a
platform that is 1 meters above the ground. The six o'clock
position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 10 minutes. How many
minutes of the ride are spent higher than 16 meters above the
ground?

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ground?

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(Round your answer to two decimal places.)
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