In a pollution control experiment, minute solid particles (typical mass \(1 \times 10^{-13}\) slug) are dropped in air. The terminal speed of the particles is measured to be \(0.2 \mathrm{ft} / \mathrm{s}\). The drag of these particles is given by \(F_{D}=k V\), where \(V\) is the instantaneous particle speed. Find the value of the constant \(k\). Find the time required to reach 99 percent of terminal speed.