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:
FU= – c'υ
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 (υ = 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 12.5 kg/s for c'.
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