A sky diver with a mass of \(70 \mathrm{~kg}\) jumps from an aircraft. The aerodynamic drag force acting on the sky diver is known to be \(F_{D}=k V^{2}\), where \(k=0.25 \mathrm{~N} \cdot \mathrm{s}^{2} / \mathrm{m}^{2}\). Determine the maximum speed of free fall for the sky diver and the speed reached after \(100 \mathrm{~m}\) of fall. Plot the speed of the sky diver as a function of time and as a function of distance fallen.