A particle moves in a straight line with a velocity of v' (t) = /3t –1 meters per second, where t is time in seconds. At t = 2, the particle's distance from the starting point was 8 meters in the positive direction. A) Calculate the approximate position of the particle at t=8 seconds using Simpson's 3/8 rule. B) What is the True Error if by using direct integration the answer is 30.028 meters? C) What is the Absolute Relative Error?
A particle moves in a straight line with a velocity of v' (t) = /3t –1 meters per second, where t is time in seconds. At t = 2, the particle's distance from the starting point was 8 meters in the positive direction. A) Calculate the approximate position of the particle at t=8 seconds using Simpson's 3/8 rule. B) What is the True Error if by using direct integration the answer is 30.028 meters? C) What is the Absolute Relative Error?
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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![A particle moves in a straight line with a velocity of v' (t) = /3t – 1 meters per second,
where t is time in seconds. At t = 2, the particle's distance from the starting point was 8 meters
-
in the positive direction.
A) Calculate the approximate position of the particle at t=8 seconds using Simpson's 3/8 rule.
B) What is the True Error if by using direct integration the answer is 30.028 meters?
C) What is the Absolute Relative Error?
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30°C Mos](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb42f7ed8-10e1-489c-935e-a0fddc53c9eb%2F5d3a7fe3-b1a8-4f3b-b73f-8d76c16aeff7%2Fdp2cd6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particle moves in a straight line with a velocity of v' (t) = /3t – 1 meters per second,
where t is time in seconds. At t = 2, the particle's distance from the starting point was 8 meters
-
in the positive direction.
A) Calculate the approximate position of the particle at t=8 seconds using Simpson's 3/8 rule.
B) What is the True Error if by using direct integration the answer is 30.028 meters?
C) What is the Absolute Relative Error?
Edit
View
Insert
Format
Tools
Table
12pt v
|BIUA
Paragraph
EPIC
30°C Mos
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