Vertical Ball Toss
One student stands on the top a 45.0 m building. Another student stands on the ground and throws a ball vertically to the student on the top of the building who reaches out to catch the ball. Neglecting the height of the students:
   (A) What is the minimum vertical speed at which the ball must be launched so that it just reaches the student on the top of the building ?
   (B) How long will it take the ball to rise to its highest point (the top of the building) after it is launched ?
   (C) What is the speed of the ball when it has risen to half its maximum height ?
   (D) If the ball is not caught, what is the speed and direction of the ball 4.40 seconds after it was launched ?