Stanley is playing soccer and has the ball 12.6 m in front of the goal. The goalie, for some unknown reason, is lying down on the goal line directly in front of Stanley. Stanley decides to shoot the ball from his current position. He kicks the ball off the ground with an initial speed of 20.2 m/s so that the horizontal component of velocity is perpendicular to the goal line.
The top of the goalie is 25.1 cm above the ground. The bottom of the crossbar is 2.44 m above the ground. The diameter of the soccer ball is 22.2 cm. All of this takes place at an altitude where g=g=9.80 m/s^2.
What is the smallest angle above horizontal that will allow Stanley to score a goal? Assume that if the center of the ball is between the top of the goalie and the bottom of the crossbar when the ball gets to the goal line, the ball will go into the goal.