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1) The vertical distance y traveled by a falling parachutist can be computed by solving the differential equation -(--) dy _mg CD dt subject to the initial condition y(0) = 0. For m = 68 kg, g = 9.81 m/sec? and C, = 12.5 kg/sec, calculate the vertical distance traveled at t = 2 sec a) By analytically solving the equation. b) Using Euler's method with a stepsize of 0.5 sec. c) Calculate the relative error of the result obtained in part (b).

1) The vertical distance y traveled by a falling parachutist can be computed by solving the differential equation -(--) dy _mg CD dt subject to the initial condition y(0) = 0. For m = 68 kg, g = 9.81 m/sec? and C, = 12.5 kg/sec, calculate the vertical distance traveled at t = 2 sec a) By analytically solving the equation. b) Using Euler's method with a stepsize of 0.5 sec. c) Calculate the relative error of the result obtained in part (b).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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1) The vertical distance y traveled by a falling parachutist can be computed by solving the differential equation dy mg -e dt subject to the initial condition y(0) = 0. For m = 68 kg, g = 9.81 m/sec? and C, = 12.5 kg/sec, calculate the vertical distance traveled at t = 2 sec a) By anal ytically solving the equation. b) Using Euler's method with a stepsize of 0.5 sec. c) Calculate the relative error of the result obtained in part (b).
Transcribed Image Text:1) The vertical distance y traveled by a falling parachutist can be computed by solving the differential equation dy mg -e dt subject to the initial condition y(0) = 0. For m = 68 kg, g = 9.81 m/sec? and C, = 12.5 kg/sec, calculate the vertical distance traveled at t = 2 sec a) By anal ytically solving the equation. b) Using Euler's method with a stepsize of 0.5 sec. c) Calculate the relative error of the result obtained in part (b).
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