SOLUTION: y=-16x^2+44x+30 represents the height of an object (in feet) that is fired up from an initial height and then lands on the ground some time (in seconds) later. a) From what height

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Question 926546: y=-16x^2+44x+30 represents the height of an object (in feet) that is fired up from an initial height and then lands on the ground some time (in seconds) later.
a) From what height was the object launched?
b) How high will the object reach? At what time will this occur?
c) For how many seconds will the object be in the air?

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

If is feet and is seconds,
The object is fired up at , so
the initial height is:


(a) 30 ft
----------------
When the form of the equation is:
, the time of the
maximum height is:



-------------------
To find :




(b) 60.25 ft
----------------
The object is in the air until it hits the ground when



-------------------------
use quadratic formula:







(c) 3.3155 sec
-----------------
check:
Here's the plot:



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