Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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In the table given below, experimentally obtained velocity (dependent variable) vs time
(independent variable) data is provided. Please answer the following questions using the data.
Time (t)
Velocity (v)
0.0
1
0.8
1.4
3
2.1
4
2.6
3.3
7
3.9
9.
4.9
10
6.0
12
8.6
14
14.4
a) What is the total displacement between t = 0- 14 seconds. Please note that
displacement is obtained via X = [V dt. Please use a combination of numerical
integration methods and prefer to use as many as high accuracy methods as possible.
b) Please calculate the acceleration at t = 2 seconds using the most accurate method
dv
possible. Please note that acceleration is obtained via a =
dt
c) Please calculate the acceleration at t = 14 seconds using the most accurate method
av
possible. Please note that acceleration is obtained via a =
dt
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Transcribed Image Text:* Office Update To keep up-to-date with security updates, fixes, and improvements, choose Check for Updates. Check for Updates In the table given below, experimentally obtained velocity (dependent variable) vs time (independent variable) data is provided. Please answer the following questions using the data. Time (t) Velocity (v) 0.0 1 0.8 1.4 3 2.1 4 2.6 3.3 7 3.9 9. 4.9 10 6.0 12 8.6 14 14.4 a) What is the total displacement between t = 0- 14 seconds. Please note that displacement is obtained via X = [V dt. Please use a combination of numerical integration methods and prefer to use as many as high accuracy methods as possible. b) Please calculate the acceleration at t = 2 seconds using the most accurate method dv possible. Please note that acceleration is obtained via a = dt c) Please calculate the acceleration at t = 14 seconds using the most accurate method av possible. Please note that acceleration is obtained via a = dt
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