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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)

1.Convert all distances to SI units; all answers will thus be in SI units.

2.Show that the ball easily clears the goal posts when kicked at the angle that produces maximum range.

3.For what kick angles will the ball clear the goal posts?

4.What is the closest a ball can land beyond the goal post for a made field goal?

5.What launch angle does the ball clear the goal post by the largest amount? How big is that amount?