SOLUTION: Amir pitched a baseball at an initial height of 5.9 feet with a velocity of 73.16 feet per second. About how long will it take the ball Amir pitched to hit the ground?

Click here to see ALL problems on Quadratic Equations

Question 616574: Amir pitched a baseball at an initial height of 5.9 feet with a velocity of 73.16 feet per second. About
how long will it take the ball Amir pitched to hit the ground?
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Amir pitched a baseball at an initial height of 5.9 feet with a velocity of 73.16 feet per second. About
how long will it take the ball Amir pitched to hit the ground?
---------------
The equation commonly used is
where v = vertical speed and h = initial height

At impact, h(t) = 0
----

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=5729.9856 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.0792708860840778, 4.65177088608408. Here's your graph:

-----------
Ignore the negative solution
t =~ 4.652 seconds