The velocity v of a falling parachutist is given by gm v = C where, g = 9.8 m/s². For a parachutist with a drag coefficient c = 15 kg/s, compute the mass (1- e-"/m)t) m so that the velocity is v = 35 m/s at t = 9 s. Use the false-position method up to 3 iterations N to approximate the value of m. Here, x, = 55 and x, = 60 + - where, N = last 3 digit of 10 %3D - your student id. Compute both the true and approximate percent errors for each iterations based on the fact that the true root is 59.841045. Note that you must show the detailed calculation of the first iteration.
The velocity v of a falling parachutist is given by gm v = C where, g = 9.8 m/s². For a parachutist with a drag coefficient c = 15 kg/s, compute the mass (1- e-"/m)t) m so that the velocity is v = 35 m/s at t = 9 s. Use the false-position method up to 3 iterations N to approximate the value of m. Here, x, = 55 and x, = 60 + - where, N = last 3 digit of 10 %3D - your student id. Compute both the true and approximate percent errors for each iterations based on the fact that the true root is 59.841045. Note that you must show the detailed calculation of the first iteration.
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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Transcribed Image Text:I'd:19.02.03.061
a)
The velocity v of a falling parachutist is given by
gm
v =
(1-
- e-C/m)t)
where, g = 9.8 m/s². For a parachutist with a drag coefficient c = 15 kg/s, compute the mass
m so that the velocity is v = 35 m/s at t = 9 s. Use the false-position method up to 3 iterations
= 55 and x,
N
to approximate the value of m. Here, x,
= 60 +
where, N = last 3 digit of
10
your student id. Compute both the true and approximate percent errors for each iterations
based on the fact that the true root is 59.841045. Note that you must show the detailed
calculation of the first iteration.
1:00
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