Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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In the summer of 2005 Road and Track magazine gathered 15 vehicies (13 cars, 1 motorcycle and an F/A-18 Homet) for a full 1 mile acceleration
test at the Lemoore Naval Air Base in California. The first-placed Lola Champ Car crossed the finish line at 203.3 mph, taking just 24.2 seconds for the
entire trip. Some of the speed are recorded below.
Time (Seconds) Speed (mph)
3.1
60
5.3
100
8.6
150
9.9
161.4
a) Would an exponential model be appropriate to model this situation in the short term?
OA. NO
OB. YES
b) IfI modeled this data with an exponential function (ab") what would the predicted spood tend to at time goes on?
The speed would tend to
c) Lot s(x) be the speed of the Champ Car at time x during the one mile run. Find an appropriate model of this situation,
d) According to your model what is the top speed of the Champ Car?
Do not include units.
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Transcribed Image Text:In the summer of 2005 Road and Track magazine gathered 15 vehicies (13 cars, 1 motorcycle and an F/A-18 Homet) for a full 1 mile acceleration test at the Lemoore Naval Air Base in California. The first-placed Lola Champ Car crossed the finish line at 203.3 mph, taking just 24.2 seconds for the entire trip. Some of the speed are recorded below. Time (Seconds) Speed (mph) 3.1 60 5.3 100 8.6 150 9.9 161.4 a) Would an exponential model be appropriate to model this situation in the short term? OA. NO OB. YES b) IfI modeled this data with an exponential function (ab") what would the predicted spood tend to at time goes on? The speed would tend to c) Lot s(x) be the speed of the Champ Car at time x during the one mile run. Find an appropriate model of this situation, d) According to your model what is the top speed of the Champ Car? Do not include units.
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