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?

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
RELATED QUESTIONS
Amir pitched a baseball at an initial height of 5.9 feet with a velocity of 73.16 feet... (answered by josmiceli)

Amir pitched a baseball at an initial height of 5.9 feet with a velocity of 73.16 feet... (answered by stanbon)

Amir pitched a baseball at an initial height of 5.9 feet with a velocity of 73.16 feet (answered by Alan3354)

A baseball player hits a baseball into the air from a height of 3 feet with an initial... (answered by ankor@dixie-net.com)

Michael throws a baseball into the air with an initial vertical velocity of 180 feet per... (answered by TimothyLamb)

The height h in feet of an object thrown upward from a height of 5 feet, with an initial... (answered by Alan3354,josmiceli)

Please do not delete this. Suppose a baseball is shot up from the ground straight up... (answered by stanbon)

A rocket is launched from atop a 101 foot cliff with an initial velocity of 116 feet per... (answered by Boreal)

If an object is given an initial velocity of v0 feet per second from a height of s0 feet, (answered by Alan3354,nerdybill)