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' .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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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