Chapter 1, Problem 3P

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,

$F_U=-c\text{'}{v}^2$

where $c\text{'}=$ a bulk second-order drag coefficient (kg/m).

(a) Using calculus, obtain the closed-form solution for the casewhere the jumper is initially at rest $\left(v=a\text{ at }t=0\right)$.

(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 $c^{\prime }$.