SOLUTION: A penalty kick in soccer is made from a penalty mark that is 36 ft form a goal that is 8 ft high. A possible equation for the flight of a penalty kick is h= -0.002x^2 + 0.35x where

Question 73670: A penalty kick in soccer is made from a penalty mark that is 36 ft form a goal that is 8 ft high. A possible equation for the flight of a penalty kick is h= -0.002x^2 + 0.35x where h is the height (in feet) of the ball x feet from the penalty mark. Assuming that the flight of the kick is toward the goal and that it is not touched by the goalie, will the ball land in the net?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A penalty kick in soccer is made from a penalty mark that is 36 ft from a goal, that is 8 ft high. A possible equation for the flight of a penalty kick is
h= -0.002x^2 + 0.35x where h is the height (in feet) of the ball x feet from the
penalty mark. Assuming that the flight of the kick is toward the goal and that
it is not touched by the goalie, will the ball land in the net?
:
h = -.002x^2 + .35x;
:
x is given as 36'
h = -.002(36^2) + .35(36)
:
h = -.002(1296) + 12.6
:
h = -2.6 + 12.6
:
h = 10' above the ground
The goal is 8' high, so it would clear the goal by 2 ft.
:
A graph would look like this:

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