Two asteroids, Alpha and Big Omega collide head-on in outer space! (An asteroid is a rock in outer space. Assume no outside forces act on the asteroids.) Before the collision, the speed of Alpha is eight times larger than the speed of Big Omega. The mass of Big Omega is 50 times larger than the mass of Alpha. Now consider the accelerations that the asteroids undergo due to the collision. Find the ratio of the magnitude of the acceleration of the larger asteroid, Big Omega, to the magnitude of the acceleration of the smaller asteroid, Alpha: .