we can model the velocity of a falling object like a parachutist with the following differential equation: dv di = g - cd v² m where vis velocity (m/s), 1 = time (s), g is the acceleration due to gravity (9.81 m/s²), cd = a second-order drag coefficient (kg/m), and m = mass (kg). Solve for the velocity and distance fallen by a 90-kg object with a drag coefficient of 0.225 kg/m. If the initial height is 1 km, determine when it hits the ground. Obtain your so- lution with (a) Euler's method and (b) the fourth-order RK method.
we can model the velocity of a falling object like a parachutist with the following differential equation: dv di = g - cd v² m where vis velocity (m/s), 1 = time (s), g is the acceleration due to gravity (9.81 m/s²), cd = a second-order drag coefficient (kg/m), and m = mass (kg). Solve for the velocity and distance fallen by a 90-kg object with a drag coefficient of 0.225 kg/m. If the initial height is 1 km, determine when it hits the ground. Obtain your so- lution with (a) Euler's method and (b) the fourth-order RK method.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:we can model the velocity of a falling object like a parachutist with
the following differential equation:
dv
dt
= g-
m
where v is velocity (m/s), 1 = time (s), g is the acceleration due to
gravity (9.81 m/s²), ca = a second-order drag coefficient (kg/m),
and m = mass (kg). Solve for the velocity and distance fallen by a
90-kg object with a drag coefficient of 0.225 kg/m. If the initial
height is 1 km, determine when it hits the ground. Obtain your so-
lution with (a) Euler's method and (b) the fourth-order RK method.
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