4 TRAVEL TIME A train is traveling from City A to City B, a total distance of 100 miles. When the train is a distance a from City A, its speed is s(x), shown in the graph below. s(x) 40 30 20 10 20 40 60 80 X 100 The horizontal axis has units of miles. The vertical axis has units of miles per hour. a. Approximately how long does it take the train to get from r = 0 miles to r= 2 miles? b. Approximately how long does it take the train to get from r = 98 miles to x = 100 miles? c. Set up an integral for the total time it takes to get from City A to City B. Your answer can involve s(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4 TRAVEL TIME
A train is traveling from City A to City B, a total distance of 100 miles.
When the train is a distance from City A, its speed is s(x), shown in the
graph below.
s(x)
40-
30
20
10
20
40
60
80
100
The horizontal axis has
units of miles.
5
The vertical axis has units
of miles per hour.
a. Approximately how long does it take the train to get from x = 0 miles
to r= 2 miles?
b. Approximately how long does it take the train to get from x = 98 miles
to x = 100 miles?
c. Set up an integral for the total time it takes to get from City A to City
B. Your answer can involve s(x).
Transcribed Image Text:4 TRAVEL TIME A train is traveling from City A to City B, a total distance of 100 miles. When the train is a distance from City A, its speed is s(x), shown in the graph below. s(x) 40- 30 20 10 20 40 60 80 100 The horizontal axis has units of miles. 5 The vertical axis has units of miles per hour. a. Approximately how long does it take the train to get from x = 0 miles to r= 2 miles? b. Approximately how long does it take the train to get from x = 98 miles to x = 100 miles? c. Set up an integral for the total time it takes to get from City A to City B. Your answer can involve s(x).
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