SOLUTION: an object is dropped from 38 feet below the tip of the pinnacle atop a 1482-ft tall building. the height h of the object after t seconds is given by the equation h=-16t^2+1444. fin

Algebra.Com
Question 949111: an object is dropped from 38 feet below the tip of the pinnacle atop a 1482-ft tall building. the height h of the object after t seconds is given by the equation h=-16t^2+1444. find how many seconds pass before the object reaches the ground.
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
The point when it will hit the ground is when h=0
-16t^2+1444=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=92416 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -9.5, 9.5. Here's your graph:

The answer is 9.5 seconds
CHECK
0=-16t^2+1444
0=-16(9.5)^2 + 1444
0=-16(90.25)+1444
0==1444+1444
0=0
RELATED QUESTIONS

an object is dropped from 38 feet below the tip of the pinnacle atop a 362-ft tall... (answered by Alan3354)
an object is dropped from 45 ft below the tip of the pinnacle atop a 945 ft tall... (answered by stanbon)
An object is dropped from 39 feet below the tip of the pinnacle atop one of the... (answered by Alan3354)
The height of an object dropped from a 205 feet tall building is given by h = -16t... (answered by ankor@dixie-net.com)
If an object is dropped from a height of 38 feet, the function h(t)=-16t^2+38 gives the... (answered by Earlsdon)
An object is dropped from the top of a building that is 144 ft high. The function given... (answered by ewatrrr)
An object is dropped off a building that is 144 feet tall. After how many seconds does... (answered by ankor@dixie-net.com)
The height of an object dropped from the roof of an eight story building is modeled by:... (answered by Alan3354,ikleyn)
The height of an object dropped from the roof of an eight story building is modeled by:... (answered by Alan3354,ikleyn)