22.17 Recall that the velocity of the freefalling parachutist with linear drag can be computed analytically as gm v(t) = (1-e(c/m)r) C where v(t) = velocity (m/s), t = time (s), g = 9.81 m/s², m = mass (kg), c = linear drag coefficient (kg/s). Use Romberg integration to compute how far the jumper travels during the first 8 seconds of free fall given m = 80 kg and c = 10 kg/s. Compute the answer to ε₁ = 1%. Problem 22.17. Start with trapezoid multform= 1, 2, and 4. Use Romberg Integration to improve the approximation first from O(h²) to O(h²), then from O(h²) to O(hº).
22.17 Recall that the velocity of the freefalling parachutist with linear drag can be computed analytically as gm v(t) = (1-e(c/m)r) C where v(t) = velocity (m/s), t = time (s), g = 9.81 m/s², m = mass (kg), c = linear drag coefficient (kg/s). Use Romberg integration to compute how far the jumper travels during the first 8 seconds of free fall given m = 80 kg and c = 10 kg/s. Compute the answer to ε₁ = 1%. Problem 22.17. Start with trapezoid multform= 1, 2, and 4. Use Romberg Integration to improve the approximation first from O(h²) to O(h²), then from O(h²) to O(hº).
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Problem 22.17. Start with trapezoid rule for n = 1, 2, and 4. Use Romberg
Integration to improve the approximation first from O(h2) to O(h4), then
from O(h4) to O(h6).
Integration to improve the approximation first from O(h2) to O(h4), then
from O(h4) to O(h6).
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