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The velocity is equal to the rate of change of distance x (m), dx v(t) dt (1.1) a. Substitute Eq. (1.2) and develop an analytical solution for distance as a function of time. Assume that x(0) = 0. b. Use Euler's method to numerically integrate Eqs. (1.1) and (1.3) in order to determine both the velocity and distance fallen as a function of time for the first 1o s of free fall using the parameters below: m = 68.1 kg C = 12.5 kg/s Employ your desired step size. c. Develop a plot of your numerical results together with the analytical solutions.

The velocity is equal to the rate of change of distance x (m), dx v(t) dt (1.1) a. Substitute Eq. (1.2) and develop an analytical solution for distance as a function of time. Assume that x(0) = 0. b. Use Euler's method to numerically integrate Eqs. (1.1) and (1.3) in order to determine both the velocity and distance fallen as a function of time for the first 1o s of free fall using the parameters below: m = 68.1 kg C = 12.5 kg/s Employ your desired step size. c. Develop a plot of your numerical results together with the analytical solutions.

Advanced Engineering Mathematics
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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01 - 2. The velocity is equal to the rate of change of distance x (m), dx dt = v(t) (1.1) a. Substitute Eq. (1.2) and develop an analytical solution for distance as a function of time. Assume that x(0) = 0. b. Use Euler's method to numerically integrate Eqs. (1.1) and (1.3) in order to determine both the velocity and distance fallen as a function of time for the first 10 s of free fall using the parameters below: m = 68.1 kg c= 12.5 kg/s Employ your desired step size. c. Develop a plot of your numerical results together with the analytical solutions. gm (1 – e-(c/m)t ) (1.2) v(t) : dv (1.3) dt m
Transcribed Image Text:01 - 2. The velocity is equal to the rate of change of distance x (m), dx dt = v(t) (1.1) a. Substitute Eq. (1.2) and develop an analytical solution for distance as a function of time. Assume that x(0) = 0. b. Use Euler's method to numerically integrate Eqs. (1.1) and (1.3) in order to determine both the velocity and distance fallen as a function of time for the first 10 s of free fall using the parameters below: m = 68.1 kg c= 12.5 kg/s Employ your desired step size. c. Develop a plot of your numerical results together with the analytical solutions. gm (1 – e-(c/m)t ) (1.2) v(t) : dv (1.3) dt m
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