A group of nine marine scientists is exploring an underwater cave 320 meters below the surface in Macedonia. The scientists work below the surface in eight-hour shifts. They travel up and down in a pair of diving bells, and each holds three people. When one crew is coming up, the other is being lowered at the same time. The diving bells can be lowered at the rate of 32 meters per minute but can be raised at the rate of only 8 meters per minute. Assume that both diving bells start at the same time and that distances above sea level are positive ones. One of the values you will find in the worksheet below will not make sense in reality. For an extra challenge, you may consider on your own which one it is and why it does not make sense outside of the algebraic model. Define units for the time, the depth of the diving bell going down, and the depth of the diving bell coming up. Enter a variable for the time and use this variable to write expressions for the depth of the diving bell going down and the depth of the diving bell coming up. 1. What is the depth of each bell after 28 minutes? 2. How long does the crew coming up take to reach the surface? 3. How long does the crew going down take to reach the cave? 4. When do the diving bells pass each other during the changeover?
A group of nine marine scientists is exploring an underwater cave 320 meters below the surface in Macedonia. The scientists work below the surface in eight-hour shifts. They travel up and down in a pair of diving bells, and each holds three people. When one crew is coming up, the other is being lowered at the same time. The diving bells can be lowered at the rate of 32 meters per minute but can be raised at the rate of only 8 meters per minute. Assume that both diving bells start at the same time and that distances above sea level are positive ones. One of the values you will find in the worksheet below will not make sense in reality. For an extra challenge, you may consider on your own which one it is and why it does not make sense outside of the algebraic model. Define units for the time, the depth of the diving bell going down, and the depth of the diving bell coming up. Enter a variable for the time and use this variable to write expressions for the depth of the diving bell going down and the depth of the diving bell coming up. 1. What is the depth of each bell after 28 minutes? 2. How long does the crew coming up take to reach the surface? 3. How long does the crew going down take to reach the cave? 4. When do the diving bells pass each other during the changeover?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A group of nine marine scientists is exploring an
Depth of
Descending BelI
Depth of
Ascending BellI
underwater cave 320 meters below the surface in
Quantity Name
Time
Macedonia. The scientists work below the surface in
minutes
meters
meters
eight-hour shifts. They travel up and down in a pair
of diving bells, and each holds three people. When
one crew is coming up, the other is being lowered at
the same time. The diving bells can be lowered at the
rate of 32 meters per minute but can be raised at
Unit
Expression
Question 1
the rate of only 8 meters per minute. Assume that
both diving bells start at the same time and that
distances above sea level are positive ones. One of
Question 2
Question 3
the values you will find in the worksheet below will
Question 4
not make sense in reality. For an extra challenge, you
may consider on your own which one it is and why it
does not make sense outside of the algebraic model.
200
Define units for the time, the depth of the diving
bell going down, and the depth of the diving bell
coming up. Enter a variable for the time and use
this variable to write expressions for the depth of
the diving bell going down and the depth of the
diving bell coming up.
-200
-400
-600
-800
1. What is the depth of each bell after 28 minutes?
-1000
2. How long does the crew coming up take to reach
the surface?
-1200
3. How long does the crew going down take to reach
-1400
the cave?
-1600
-5
10
15
20
25
30
35
40
45
50
55
4. When do the diving bells pass each other during
the changeover?
Time
After comnleting the worksheet granh vour
(minutes)
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