diagram not to scal Topic 3 Trig Function graphs [52 marks] 1. A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the wheel is 10 metres above the ground, as shown on the following diagram. P is a point on the wheel. The wheel starts moving with P at the lowest point and completes one t revolution in 20 minutes. 110m The height, h metres, of P above the ground after t minutes is given by h(t) = a cos(bt) + c, where a, b, c E R. d 10m Find the values of a, b and c. [5 marks] fohom S bnaobbwoldswdad s giod isons
diagram not to scal Topic 3 Trig Function graphs [52 marks] 1. A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the wheel is 10 metres above the ground, as shown on the following diagram. P is a point on the wheel. The wheel starts moving with P at the lowest point and completes one t revolution in 20 minutes. 110m The height, h metres, of P above the ground after t minutes is given by h(t) = a cos(bt) + c, where a, b, c E R. d 10m Find the values of a, b and c. [5 marks] fohom S bnaobbwoldswdad s giod isons
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
Related questions
Question
![RIX
Topic 3 Trig Function graphs [52 marks]
diagram not to scalk
1. A Ferris wheel with diameter 110 metres rotates at a constant speed.
The lowest point on the wheel is 10 metres above the ground, as
shown on the following diagram. P is a point on the wheel. The
wheel starts moving with P at the lowest point and completes one
revolution in 20 minutes.
110m
The height, h metres, of P above the ground after t minutes is
given by h(t) = a cos(bt) + c, where a, b, c E R. Sd ee
Find the values of a, b and c. [5 marks]
10m
ahom S
bnsobb wol nes
2. Considèr the graph of the function f (x) = 2 sin x,
0sx < 2n. The graph of f intersects the line y = -1
exactly twice, at point A and point B. This is shown in the
following diagram.
1o sulev bnib
Consider the graph of g(x)
p > 0.
= 2 sin px, 0 s x < 2n, where
y=-1
Find the greatest value of p such that the graph of g does
not intersect the line y = -1. [3 marks]
A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7af866c0-fe1d-4b62-907a-4ba9b312bf76%2F9f7878c9-93ea-425b-b7cc-4ee87f1c52d5%2F7c4m41_processed.jpeg&w=3840&q=75)
Transcribed Image Text:RIX
Topic 3 Trig Function graphs [52 marks]
diagram not to scalk
1. A Ferris wheel with diameter 110 metres rotates at a constant speed.
The lowest point on the wheel is 10 metres above the ground, as
shown on the following diagram. P is a point on the wheel. The
wheel starts moving with P at the lowest point and completes one
revolution in 20 minutes.
110m
The height, h metres, of P above the ground after t minutes is
given by h(t) = a cos(bt) + c, where a, b, c E R. Sd ee
Find the values of a, b and c. [5 marks]
10m
ahom S
bnsobb wol nes
2. Considèr the graph of the function f (x) = 2 sin x,
0sx < 2n. The graph of f intersects the line y = -1
exactly twice, at point A and point B. This is shown in the
following diagram.
1o sulev bnib
Consider the graph of g(x)
p > 0.
= 2 sin px, 0 s x < 2n, where
y=-1
Find the greatest value of p such that the graph of g does
not intersect the line y = -1. [3 marks]
A
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
As per our guidelines, we are supposed to answer only one question at a time.
Given data are:
Diameter=110 m,
So radius= 55 m.
Angular speed = 1 revolution in 20 minutes. =
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell