Chapter 5, Problem 75P

(III) The drag force on large objects such as cars, planes, and sky divers moving through air is more nearly $F_{\text{D}}=-b{v}^2$. (a) For this quadratic dependence on v, determine a formula for the terminal velocity v_T, of a vertically falling object. (b) A 75-kg sky diver has a terminal velocity of about 60 m/s; determine the value of the constant b. (c) Sketch a curve like that of Fig. 5–27b for this case of $F_{\text{D}}\propto v^2$. For the same terminal velocity, would this curve lie above or below that in Fig. 5–27? Explain why.