SOLUTION: An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x²+2.7x, where x is
Question 165756: An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x²+2.7x, where x is the horizontal distance the football travels in yards and f(x) is the vertical distance the football travels. The bottom of the upright is 3.5 yards above the ground.
Assuming the kick is in between the uprights, did the kicker make the field goal? Why or Why not? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x²+2.7x, where x is the horizontal distance the football travels in yards and f(x) is the vertical distance the football travels. The bottom of the upright is 3.5 yards above the ground.
Assuming the kick is in between the uprights, did the kicker make the field goal? Why or Why not?
Find value of x (dist) when f(x) = 3.5 (height)
-.0625x² + 2.7x = 3.5
:
-.0625x² + 2.7x - 3.5 = 0
:
Use the quadratic formula:
In this problem a=-.0625; b=+2.7; c=-3.5
:
:
:
x = 1.33; not the solution we want here
and
x = 41.86 yds; clears the upright nicely
:
The ball had traveled almost 42 yds when it had descended to 3.5 meters
