A soccer ball is kicked directly southwest (45 degrees and S to W) from the top of a building 50 meters tall, at an initial velocity of 20 m/s, with an angle of elevation of 60 degrees. How far does the ball land horizontally from its initial (, ) position? With what speed did the ball hit the ground? Set up the acceleration, velocity, and position vector functions and use them to solve this problem.

Note: Use the vector approach of finding a, v, and then r. Please don't plug these problems into 2D physics formulas.