What do the quadratic coefficients b and c represent in the last grap

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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Question

What do the quadratic coefficients b and c represent in the last graph?

Position vs. Time
0.7
Chart Title
0.6
y = 3.9745x + 0.0131x
0.5
0.4
0.3
0.2
0.1
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
Time
Position (m)
Transcribed Image Text:Position vs. Time 0.7 Chart Title 0.6 y = 3.9745x + 0.0131x 0.5 0.4 0.3 0.2 0.1 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 Time Position (m)
C
D
E
F
G
H
J
Elapse time (m/s)
Position (cm)
Position (m)
Дх (m)
Ax/At (m/s)
AV (m/s)
AV/At (m/s^2)
0.016666667
0.016666667
0.45
0.0045
0.0045
0.27
0.033333333
0.95
0.0095
0.005
0.3
0.03
1.8
0.05
1
0.01
0.0005
0.03
-0.27
-16.2
0.066666667
1.4
0.014
0.004
0.24
0.21
12.6
0.083333333
2.25
0.0225
0.0085
0.51
0.27
16.2
0.1
3.4
0.034
0.0115
0.69
0.18
10.8
0.116666667
4.7
0.047
0.013
0.78
0.09
5.4
0.133333333
6.6
0.066
0.019
1.14
0.36
21.6
0.15
8.6
0.086
0.02
1.2
0.06
3.6
0.166666667
11.1
0.111
0.025
1.5
0.3
18
0.183333333
13.4
0.134
0.023
1.38
-0.12
-7.2
0.2
16.5
0.165
0.031
1.86
0.48
28.8
0.216666667
19.1
0.191
0.026
1.56
-0.3
-18
0.233333333
22.5
0.225
0.034
2.04
0.48
28.8
0.25
25.8
0.258
0.033
1.98
-0.06
-3.6
0.266666667
29.65
0.2965
0.0385
2.31
0.33
19.8
0.283333333
33
0.33
0.0335
2.01
-0.3
-18
0.3
36.5
0.365
0.035
2.1
0.09
5.4
0.316666667
40.6
0.406
0.041
2.46
0.36
21.6
0.333333333
44.5
0.445
0.039
2.34
-0.12
-7.2
0.35
48.9
0.489
0.044
2.64
0.3
18
0.366666667
53.3
0.533
0.044
2.64
3.55271E-15
2.13163E-13
0.383333333
58.2
0.582
0.049
2.94
0.3
18
Acceleration Part 15
Second acceleration (m/s^2)
Third acceleration (m/s^2)
average acceleration (m/s^2)
7.281818182
Acceleration m/s^2)
7.613
Acceleration m/s^2)
7.949
00 00
Transcribed Image Text:C D E F G H J Elapse time (m/s) Position (cm) Position (m) Дх (m) Ax/At (m/s) AV (m/s) AV/At (m/s^2) 0.016666667 0.016666667 0.45 0.0045 0.0045 0.27 0.033333333 0.95 0.0095 0.005 0.3 0.03 1.8 0.05 1 0.01 0.0005 0.03 -0.27 -16.2 0.066666667 1.4 0.014 0.004 0.24 0.21 12.6 0.083333333 2.25 0.0225 0.0085 0.51 0.27 16.2 0.1 3.4 0.034 0.0115 0.69 0.18 10.8 0.116666667 4.7 0.047 0.013 0.78 0.09 5.4 0.133333333 6.6 0.066 0.019 1.14 0.36 21.6 0.15 8.6 0.086 0.02 1.2 0.06 3.6 0.166666667 11.1 0.111 0.025 1.5 0.3 18 0.183333333 13.4 0.134 0.023 1.38 -0.12 -7.2 0.2 16.5 0.165 0.031 1.86 0.48 28.8 0.216666667 19.1 0.191 0.026 1.56 -0.3 -18 0.233333333 22.5 0.225 0.034 2.04 0.48 28.8 0.25 25.8 0.258 0.033 1.98 -0.06 -3.6 0.266666667 29.65 0.2965 0.0385 2.31 0.33 19.8 0.283333333 33 0.33 0.0335 2.01 -0.3 -18 0.3 36.5 0.365 0.035 2.1 0.09 5.4 0.316666667 40.6 0.406 0.041 2.46 0.36 21.6 0.333333333 44.5 0.445 0.039 2.34 -0.12 -7.2 0.35 48.9 0.489 0.044 2.64 0.3 18 0.366666667 53.3 0.533 0.044 2.64 3.55271E-15 2.13163E-13 0.383333333 58.2 0.582 0.049 2.94 0.3 18 Acceleration Part 15 Second acceleration (m/s^2) Third acceleration (m/s^2) average acceleration (m/s^2) 7.281818182 Acceleration m/s^2) 7.613 Acceleration m/s^2) 7.949 00 00
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