When you step on the brake pedal in your car, charge carriers flow from the battery to the rear brake lights. Suppose the wire connecting the switch at the pedal to the brake lights is made of copper and has a diameter of \(1.1 \mathrm{~mm}\). If the current through the wire is \(2.0 \mathrm{~A}\), how long on average does it take an electron to travel from the switch at the pedal to one of the brake lights? The number density of free electrons in copper is \(n=8.4 \times 10^{28}\) electrons \(/ \mathrm{m}^{3}\).