A military jet traveling at \(1500 \mathrm{~m} / \mathrm{s}\) has engine trouble and the pilot must bail out. Her ejection seat shoots her forward at \(300 \mathrm{~m} / \mathrm{s}\) relative to the jet. According to the Lorentz velocity transformation, by how much is her velocity relative to the ground less than the \(1800 \mathrm{~m} / \mathrm{s}\) predicted by Galilean relativity? Hint: Use the binomial approximation.