A4.0×1010kg asteroid is heading directly toward the center of the earth at a steady 16 km/s. to save the planet, astronauts strap a giant rocket to the asteroid perpendicular to its direction of travel. the rocket generates 5.0×109n of thrust. the rocket is fired when the asteroid is 4.0×106km away from earth. you can ignore the earth’s gravitational force on the asteroid and their rotation about the sun. part a: if the mission fails, how many hours is it until the asteroid impacts the earth? part b: the radius of the earth is 6400 km. by what minimum angle must the asteroid be deflected to just miss the earth? part c: what is the actual angle of deflection if the rocket fires at full thrust for 300 s before running out of fuel?