A asteroid is heading directly toward the center of the earth at a steady 22 . To save the planet, astronauts strap a giant rocket to the asteroid...

A asteroid is heading directly toward the center of the earth at a steady 22 . To save the planet, astronauts strap a giant rocket to the asteroid perpendicular to its direction of travel. The rocket generates of thrust. The rocket is fired when the asteroid is away from earth. You can ignore the rotational motion of the earth and asteroid around the sun.