Suppose an automobile is moving with increasing velocity and that we measure the car's velocity every two seconds. Time (sec) 0 Velocity (ft/sec) 20 2 30 4 38 6 44 8 48 10 50 1. Use L5 to estimate the total distance the car has traveled during the ten seconds. 2. Is L5 an under- or over-estimate of the total distance the car has traveled during the ten seconds? How can you tell? 3. Use R5 to estimate the total distance the car has traveled during the ten seconds.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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parts 1-3

Suppose an automobile is moving with increasing velocity and that we measure the car's
velocity every two seconds.
Time (sec) 0
Velocity (ft/sec) 20
2
30
4
38
6
44
8
48
10
50
1. Use L5 to estimate the total distance the car has traveled during the ten seconds.
2. Is L5 an under- or over-estimate of the total distance the car has traveled during the ten
seconds? How can you tell?
3. Use R5 to estimate the total distance the car has traveled during the ten seconds.
4. Is R5 an under- or over-estimate of the total distance the car has traveled during the ten
seconds? How can you tell?
5. Find a better estimate for the total distance the car has traveled during the ten seconds.
■ You must show ALL of your work in order to receive full credit.
▪ A PDF file upload is required for each question.
Transcribed Image Text:Suppose an automobile is moving with increasing velocity and that we measure the car's velocity every two seconds. Time (sec) 0 Velocity (ft/sec) 20 2 30 4 38 6 44 8 48 10 50 1. Use L5 to estimate the total distance the car has traveled during the ten seconds. 2. Is L5 an under- or over-estimate of the total distance the car has traveled during the ten seconds? How can you tell? 3. Use R5 to estimate the total distance the car has traveled during the ten seconds. 4. Is R5 an under- or over-estimate of the total distance the car has traveled during the ten seconds? How can you tell? 5. Find a better estimate for the total distance the car has traveled during the ten seconds. ■ You must show ALL of your work in order to receive full credit. ▪ A PDF file upload is required for each question.
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