(i) Draw a facsimile of this chart, and by readi Starting Point / location A/Log B/Mushroom C/Salamander D/Puddle TOTAL Speed in ft/hr to point/location

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Distance traveled
its trip.
(i) Draw a facsimile of this chart, and by reading the information below, fill in the chart.
Starting Point / location
A/Log
B/Mushroom
C/Salamander
D/Puddle
TOTAL
(i)
Speed in ft/hr to next
point/location
Distance in ft to next
location
Total Distance in ft
Time in hr to next
point/location
TOTAL time in hr
Suppose the snail first crawls out of its log at point A and slimes its way due East to a mushroom
at point B, six feet away at two feet per hour. Write a fraction that gives the number of hours the
snail required to get from the log to the mushroom. Explain results in complete English
sentences. Then reduce to lowest terms. (Then be sure to fill in the relevant chart entries.)
(ii) Next, turning left, the snail wants to get from the mushroom to visit its Salamander friend at point C, two
feet from the mushroom. The ground is smooth here, so the snail can slime its way at seven feet per hour.
Again, write a fraction for the amount of time it took the snail to make this leg of the trip. . (And fill in the
chart.) Again, be sure to write complete English sentences to explain your results including units.
(iii) Again turning left, our snail now must crawl three more feet, at an unknown speed x feet per hour, to get
to a puddle at point D, for some water. Again write a fraction giving the time of travel for this leg of its trip.
And once more, finish by writing a complete English sentence expressing your result, including units. (And fill
in more of the chart.)
(iv) The snail is now five feet from the log where it started. So turning left once more, it slimes its way home
to the log. Now it moves twice as fast as it did on the walk from the Salamander to the stream. In a complete
English sentence, tell us how fast the snail crawls on this part of its trip (in terms of x), and how many hours it
Transcribed Image Text:its trip. (i) Draw a facsimile of this chart, and by reading the information below, fill in the chart. Starting Point / location A/Log B/Mushroom C/Salamander D/Puddle TOTAL (i) Speed in ft/hr to next point/location Distance in ft to next location Total Distance in ft Time in hr to next point/location TOTAL time in hr Suppose the snail first crawls out of its log at point A and slimes its way due East to a mushroom at point B, six feet away at two feet per hour. Write a fraction that gives the number of hours the snail required to get from the log to the mushroom. Explain results in complete English sentences. Then reduce to lowest terms. (Then be sure to fill in the relevant chart entries.) (ii) Next, turning left, the snail wants to get from the mushroom to visit its Salamander friend at point C, two feet from the mushroom. The ground is smooth here, so the snail can slime its way at seven feet per hour. Again, write a fraction for the amount of time it took the snail to make this leg of the trip. . (And fill in the chart.) Again, be sure to write complete English sentences to explain your results including units. (iii) Again turning left, our snail now must crawl three more feet, at an unknown speed x feet per hour, to get to a puddle at point D, for some water. Again write a fraction giving the time of travel for this leg of its trip. And once more, finish by writing a complete English sentence expressing your result, including units. (And fill in more of the chart.) (iv) The snail is now five feet from the log where it started. So turning left once more, it slimes its way home to the log. Now it moves twice as fast as it did on the walk from the Salamander to the stream. In a complete English sentence, tell us how fast the snail crawls on this part of its trip (in terms of x), and how many hours it
takes him/her/it also in terms of x? Be sure that both expressions include the UNITS. (And finish filling in the
chart. You can now write in the totals too!)
(v) Research: Is this snail a Him? A Her? An It? Explain, and be sure to cite your source appropriately in #4.
(vi) Next, make a sketch in at least two colors, showing the snail's trip. Label all lengths and information, such
as distances for each leg of the trip, speed with units, and what our snail finds at each destination. Best
drawing in the class gets a 2point bonus!
(vii) Snails are slow! It took this snail six hours to make this entire circuit. Write an equation that expresses
this fact. (Use (i) through (iv) to do this. (vi) Solve (v) for x. Work in fractions, get a common denominator,
and give an exact answer. The explain in a complete sentence how fast the snail slimed along on the last two
legs of this trip. Be sure to state that these speeds as exact fractions in units of feet per minute. Then, in
another sentence, explain each in feet and inches per minute--here you can round off!.
(viii) What is the average speed for the whole trip? (Note that you do not need to know anything about the
speeds on the individual parts of the trip.) Again, state your answer, with UNITS, first in exact fractions,
followed by a decimal approximation, all in a complete English sentence.
in his burrow, plus eight little boxes each containing
Transcribed Image Text:takes him/her/it also in terms of x? Be sure that both expressions include the UNITS. (And finish filling in the chart. You can now write in the totals too!) (v) Research: Is this snail a Him? A Her? An It? Explain, and be sure to cite your source appropriately in #4. (vi) Next, make a sketch in at least two colors, showing the snail's trip. Label all lengths and information, such as distances for each leg of the trip, speed with units, and what our snail finds at each destination. Best drawing in the class gets a 2point bonus! (vii) Snails are slow! It took this snail six hours to make this entire circuit. Write an equation that expresses this fact. (Use (i) through (iv) to do this. (vi) Solve (v) for x. Work in fractions, get a common denominator, and give an exact answer. The explain in a complete sentence how fast the snail slimed along on the last two legs of this trip. Be sure to state that these speeds as exact fractions in units of feet per minute. Then, in another sentence, explain each in feet and inches per minute--here you can round off!. (viii) What is the average speed for the whole trip? (Note that you do not need to know anything about the speeds on the individual parts of the trip.) Again, state your answer, with UNITS, first in exact fractions, followed by a decimal approximation, all in a complete English sentence. in his burrow, plus eight little boxes each containing
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,