Chapter 1.8, Problem 67ES

Suppose that the speed $\upsilon$ (in ft/s) of a skydiver $t$ second after leaping form a plane is given by the equation $\upsilon =190\left(1-e^{-0.168t}\right)$ .

(a) Graph $v$ versus $t$ .

(b) By evaluating an appropriate limit, shown that the graph of $\upsilon$ versus $t$ has a horizontal asymptote $\upsilon =c$ for an appropriate constant $c$ .

(c) What is the physical significance of the constant $c$ in part (b)?