SOLUTION: The equation h = -16t^2 � 32t + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s, where t is the time after the arrow leaves t

Question 45912: The equation h = -16t^2 � 32t + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
Not sure where to start on this one.
Thanks for help
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
I do not know how you get -32t ....

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 : .

The discriminant -320 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -320 is + or - .

The solution is

Here's your graph:

V(2.5,100)
The highest the arrow will go is 100ft.
RELATED QUESTIONS
the equation h=16t^2+112t gives the height of an arrow. shot upward from the ground with... (answered by tutorcecilia)

The equation h = -16t^2 + 112t gives the height of an arrow, shot upward from the ground... (answered by Nate)

The equation h = - 16t^2 + 112t gives the height of an arrow, shot upward from the ground (answered by stanbon)

The equation h=-16t^2+112t gives the height of an arrow, shot upward from the ground with (answered by stanbon)

The equation h=-16t^2 + 112t gives the height of an arrow, shot upward from the ground... (answered by ankor@dixie-net.com)

Problem 22 The equation h = -16t^2+112t gives the height of an arrow, shot upward from (answered by ankor@dixie-net.com)

Science and medicine. The equation h= -16t^2 + 112t gives the height of an arrow, shot... (answered by ankor@dixie-net.com)

The equation h=-16t^2+112t gives the height of an arrow, shot upward from the ground with (answered by tutorcecilia)

The equation h = -16t^2 + 112t gives the height of an arrow, shot upward from the ground... (answered by jim_thompson5910)