Suppose a field goal kicker (American football) can kick the ball at a launch speed of 58 miles/hour. If the ball is placed at the 50-yard line, he is actually kicking the ball 60 yards to the goal post. Additionally, the crossbar is 10 feet above the ground. (1 mile = 5280 ft = 1760 yds = 1609.3 m)
a. For what kick angles will the ball clear the goal posts?
b. What is the closest a ball can land beyond the goal post for a made field goal?