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).

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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).
 
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%.
Transcribed Image Text: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).
Transcribed Image Text: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).
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