SOLUTION: The height (in feet) of a football kicked from the 30 yd line can be modeled by the equation h= -0.02x^2 + 1.2x, where x is the horizontal distance traveled in yards. Use calculato

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Question 1028883: The height (in feet) of a football kicked from the 30 yd line can be modeled by the equation h= -0.02x^2 + 1.2x, where x is the horizontal distance traveled in yards. Use calculator to answer the question
1.) On what yard line will the ball hit the ground?
2.) Will the football reach a height of 20 ft?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

is in feet
is in yds
-----------------
(1)
The ball hits the ground when






The ball hits the ground on the 60 yd line
-----------------
(2)

The maximum height is at:

where:




------------------



Plug this back into equation



ft
No, the ball will not reach 20 ft high
-------------------
Here's the plot:

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