A asteroid is heading directly in the direction of the center of the earth at a steady 15. To save the planet, astronauts strap a giant rocket to the asteroid perpendicular to the direction of travel. The rocket produces of thrust. The rocket is fired if the asteroid is away from the earth. You can avoid the rotational motion of the earth and asteroid around the sun.
When the mission fails, determine how many hours is it until the asteroid impacts the earth?
The radius of earth is around 6400. By what minimum angle should the asteroid be deflected to just miss the earth?