SOLUTION: Sharice hit a baseball, and the flight of the ball was modeled by the following equation: {{{ h = -16t2 + 62t + 4 }}}. After how many seconds will the ball fall to the ground if

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Question 871192: Sharice hit a baseball, and the flight of the ball was modeled by the following equation:
. After how many seconds will the ball fall to the ground if it is not caught? Round your answer to the nearest tenth.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
.
t = 3.93847632419777 sec 0r 3.9sec (Rounded to the nearest tenth)
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 : .

Discriminant d=4100 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.0634763241977652, 3.93847632419777. Here's your graph:
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