2 Your motion can be modelled using the formula h = a + b cos ct where h is the height of the car in metres, t is the time that has elapsed in minutes and a, b and c are constants. Find values for a, b and c that will effectively model your motion on the big wheel.
2 Your motion can be modelled using the formula h = a + b cos ct where h is the height of the car in metres, t is the time that has elapsed in minutes and a, b and c are constants. Find values for a, b and c that will effectively model your motion on the big wheel.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 78E: Velocity Pitcher Aroldis Chapman threw a pitch with a recorded velocity of 105 miles per hour....
Related questions
Question
Answer the following questions p
Transcribed Image Text:Create a cosine function for a big wheel with any diameter, rotational speed and central
axle height. Be sure to do the following:
Fully explain your formula (describe what and why). This may require graphs,
tables, etc.
Define and describe all variables as needed.
Describe the realistic scope and limitations of the variables (h, t) and parameters
(a, b, c)- in other words, describe real-world limitations on your model variables
and parameters and how these would affect your model - what would the real-life
model look like?
• Be clear, concise and complete.
4 Optional extension question
Huw is on the original big wheel from Question 1. He becomes scared and starts
screaming when he is 50 metres or more above the ground.
When will Huw first start screaming?
a
b How long will he scream for?
5 Write up
Prepare a Research Report for this investigation. Your final paper will be based on the
following modified IB Mathematics Rubric:
Transcribed Image Text:Activity: Big wheel
(Student version)
A big wheel (like, for example, the
Singapore Flyer) has a diameter of 40 metres
and rotates around an axle that is 30 metres
above the ground. It takes 3 minutes to
complete one full rotation.
You decide to ride the big wheel and get into
one of the cars when it is at its lowest point.
Questions
1 Using the axes below, sketch a graph to show how your height varies over time.
Height in metres
90
DLE
80
70
60
50
40
30
20
10
2
Kittiphan/stock.adobe.com
3
DYNAMIC
LEARNING
2 Your motion can be modelled using the formula
h = a + b cos ct
4
5
Time in minutes
6
7
8
where h is the height of the car in metres, t is the time that has elapsed in minutes and a,
b and c are constants.
Find values for a, b and c that will effectively model your motion on the big wheel.
Mathematics for the IB Diploma: Applications and interpretation
Huw Jones 2019
9
Big wheel
1
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