# 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?

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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?

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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?
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The equation commonly used is
where v = vertical speed and h = initial height

At impact, h(t) = 0
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 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:

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Ignore the negative solution
t =~ 4.652 seconds