Goal Post P Front Goal Post Bottom A T 22. m/s 10. feet S Field 8 =45" -10 10 20 30 40 50 yards C (Diagram not drawn to scale) As shown, a football is kicked from ground level toward the goal post to score a field goal in a football game. The ball is placed at the 35 yard line and the front edge of the goal post is 10 yards behind the start of the end zone. The ball is kicked at 22. m's at 45 relative to the level ground and travels in the plane of the page (i.e. two dimensions) and air resistance is not a factor in the ball's motion. Consider the ball a point object and assume it does not rotate. For the team to score points, the ball must pass through the goal posts 10 feet off the level field. (15 points) Some useful conversions; Z 1 meter = 3.3 feet 1 foot = 12. inches 1 yard = 3.0 feet (a) How far (in meters) is the goal post front from the location from which the ball is kicked? (just fill in the blank) (1 point) (b) Calculate the amount of time it takes the ball to reach the goal post front. (3 points) (c) Is the ball kicked hard enough such that the team scores a field goal? How far above (or below) the bottom of the goal post does the ball pass? Justify your answer with appropriate calculations. (4 points) (d) Above which yard line marking on the field does the ball pass at the moment it reaches its maximum height above the field? (4 points) (e) On the graph below, clearly sketch the ball's horizontal velocity from the time it is hit to the time it reaches the goal post front. (3 points) 40. Horizontal velocity of ball 20. (m's) 1 (sec) 1.0 2.0 3.0 4.0 15