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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,
where
(a) Using calculus, obtain the closed-form solution for the casewhere the jumper is initially at rest
(b) Repeat the numerical calculation in Example 1.2 with the same initial condition and parameter values, but with second-order drag. Use a value of 0.22 kg/m for
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Numerical Methods for Engineers
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