A Porsche challenges a Honda to a \(400 \mathrm{~m}\) race. Because the Porsche's acceleration of \(3.5 \mathrm{~m} / \mathrm{s}^{2}\) is larger than the Honda's \(3.0 \mathrm{~m} / \mathrm{s}^{2}\), the Honda gets a \(100-\mathrm{m}\) head start-it is only \(300 \mathrm{~m}\) from the finish line. Assume, somewhat unrealistically, that both cars can maintain these accelerations the entire distance. Who wins, and by how much time?