A spaceship heads directly toward an asteroid at a relative speed of \(0.75 \mathrm{c}\). When it is \(3.0 \times 10^{8} \mathrm{~m}\) from the asteroid, as measured in the asteroid's frame, the rocket fires a laser pulse at the asteroid. According to the rocket captain, what is the time interval between when the pulse hits the asteroid and when the rocket passes the asteroid, barely missing it?