Rather than the linear relationship of Eq. (1.7), you might choose to model the upward force on the parachutist as a second-order relationship. FU = −c'v2, where c' = a second-order drag coefficient (kg/m). a. Using calculus, obtain the closed-form solution for the casewhere the jumper is initially at rest (v = 0 at t = 0).b. Repeat the numerical calculation in Example 1.2 with thesame initial condition and parameter values. Use a value of0.225 kg/m for c' .
Rather than the linear relationship of Eq. (1.7), you might choose to model the upward force on the parachutist as a second-order relationship. FU = −c'v2, where c' = a second-order drag coefficient (kg/m). a. Using calculus, obtain the closed-form solution for the casewhere the jumper is initially at rest (v = 0 at t = 0).b. Repeat the numerical calculation in Example 1.2 with thesame initial condition and parameter values. Use a value of0.225 kg/m for c' .
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Rather than the linear relationship of Eq. (1.7), you might choose to model the upward force on the parachutist as a second-order relationship.
FU = −c'v2, where c' = a second-order drag coefficient (kg/m).
a. Using calculus, obtain the closed-form solution for the case
where the jumper is initially at rest (v = 0 at t = 0).
b. Repeat the numerical calculation in Example 1.2 with the
same initial condition and parameter values. Use a value of
0.225 kg/m for c' .
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