An asteroid is falling directly into Earth with a constant velocity of 18,000 m/s, and it will reach the planet from an angle of 330°.
NASA will deploy a spaceship to directly impact the asteroid and try to change its course to a 345° angle, avoiding collision with Earth. NASA's spaceship is expected to collide with the asteroid at a 90° angle.
• Represent the problem in plane
• What is the velocity the spaceship needs to reach, so it can change the course of the asteroid to the desired angle?
• What will be the resultant speed of the asteroid?