Rather than the nonlinear relationship of Eq. (1.7), you might choose to model the upward force on

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Rather than the nonlinear relationship of Eq. (1.7), you might choose to model the upward force on the bungee jumper as a linear relationship:


Equation (1.7)

FU = −c′ν
where c′ = a first-order drag coefficient (kg/s).
(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 11.5 kg/s for c′.


Example 1.2

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