• A) Use Euler's method to numerically integrate ● m = 68.1 kg from t = 0 to t = 24 with a step size of 2. The initial condition at t = 0 is v=0 dv dt Et = ytrue -Yeuler Ytrue Yi+1 = Y; + hf (x₁, yj) B) Estimate the percent relative error and plot your results C -1v m 100% c = 12.5 kg g=9.81 m/s2 v(0)=0 gm с v(1)= -(1-e-(cm)t)

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Explain usin eulers method

• A) Use Euler's method to numerically integrate
m = 68.1 kg
c = 12.5 kg
g=9.81 m/s2
from t = 0 to t = 24 with a step size of 2.
The initial condition at t = 0 is v=0
Et
du
dt
=
Ytrue-Yeuler
ytrue
=
Yi+1 = Y; +hf (x₁, y¡ )
B) Estimate the percent relative error and plot your results
g
100%
m
v(0) = 0
gm
v(t)= -(1-e-(c/m)t)
Transcribed Image Text:• A) Use Euler's method to numerically integrate m = 68.1 kg c = 12.5 kg g=9.81 m/s2 from t = 0 to t = 24 with a step size of 2. The initial condition at t = 0 is v=0 Et du dt = Ytrue-Yeuler ytrue = Yi+1 = Y; +hf (x₁, y¡ ) B) Estimate the percent relative error and plot your results g 100% m v(0) = 0 gm v(t)= -(1-e-(c/m)t)
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