SOLUTION: Elias hits a baseball into the air. The equation h=16tsquared+60t+3 models the height h in feet of the ball after t seconds. How long is the ball in the air after it is hit?

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Question 872174: Elias hits a baseball into the air. The equation h=16tsquared+60t+3 models the height h in feet of the ball after t seconds. How long is the ball in the air after it is hit?
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
h=16tsquared+60t+3
--------------
h increases with t.
It will never come down.

Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
I suspect that you mean
h=-16t^2+60t+3
Set the equation equal to zero for zero height
0=-16t^2+60t+3
Discard the negative result
t = about 3.7994 seconds

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=3792 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.0493505397925815, 3.79935053979258. Here's your graph: