Answer:
Part A:
Assuming that Morgan kicks the ball at an angle that will allow it to clear the crossbar, we can use the following formula to determine how far she must kick the ball:
Distance = Height / tan(θ)
where θ is the angle at which the ball is kicked.
Since the field goal is 16 feet off the ground and we want the ball to clear the crossbar, we can assume that Morgan needs to kick the ball at an angle of approximately 45 degrees. Therefore, plugging in the given values, we get:
Distance = 16 / tan(45)
Simplifying the equation, we get:
Distance = 16 / 1
Therefore, Morgan must kick the ball a distance of 16 feet to make the extra point if she stands 30 feet from the field goal.
Part B:
To arrive at this conclusion, we used the formula for the distance of a projectile when given the initial velocity, angle, and height of the object. However, since we were not given the initial velocity, we assumed that Morgan would need to kick the ball at an angle of approximately 45 degrees to clear the crossbar. This is a common assumption in football, as it allows for the ball to travel the farthest distance possible while still clearing the crossbar. Additionally, we assumed that there was no wind or other external factors that could affect the trajectory of the ball. With these assumptions, we were able to determine that Morgan would need to kick the ball a distance of 16 feet to make the extra point if she stood 30 feet from the field goal.