A 16 x 1010 kg asteroid is heading directly toward the

Question

Solve the all parts of given question:

Question: A 1.6 x 10¹⁰ kg asteroid is heading directly toward the center of the earth at a steady 15 km/s. To save the planet, astronauts strap a giant rocket to the asteroid perpendicular to its direction of travel. The rocket generates 5.2 x 10⁹ N of thrust. The rocket is fired when the asteroid is 6.0 x 10⁶ km 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 (in degrees) must the asteroid be deflected to just miss the earth?

Part C: The rocket fires at full thrust for 300 s before running out of fuel. At what angle is the asteroid deflected?

I want help to find how many hours is it until the asteroid impacts the earth.