A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (Round your answer to three decimal places.) t (s) v (m/s) t (s) v (m/s) 3.0 10.57 0.5 4.61 3.5 10.65 1.0 7.32 4.0 10.72 1.5 8.84 4.5 10.85 2.0 9.79 5.0 10.85 2.5 10.24

A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (Round your answer to three decimal places.) t (s) v (m/s) t (s) v (m/s) 3.0 10.57 0.5 4.61 3.5 10.65 1.0 7.32 4.0 10.72 1.5 8.84 4.5 10.85 2.0 9.79 5.0 10.85 2.5 10.24

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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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.

Question

A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds.
(Round your answer to three decimal places.)
t (s) v (m/s)
t (s) v (m/s)
3.0
10.57
0.5
4.61
3.5
10.65
1.0
7.32
4.0
10.72
1.5
8.84
4.5
10.85
2.0
9.79
5.0
10.85
2.5
10.24

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