SOLUTION: a ball is tossed int the air from a height of 12ft at 16ft per sec, how long does it take to reach the earth?

Question 266273: a ball is tossed int the air from a height of 12ft at 16ft per sec, how long does it take to reach the earth?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
h(t) = -16t^2 + 16t + 12
-4t^2 + 4t + 3 = 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=64 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.5, 1.5. Here's your graph:

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