SOLUTION: The height h in feet of an object after t seconds is given by the function h=-16t^2+40t+6. How long will it take the object to hit the ground? Round your answer to the nearest tho

Question 60816: The height h in feet of an object after t seconds is given by the function
h=-16t^2+40t+6. How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
Thanks!
CH
Answer by hayek(51) (Show Source): You can put this solution on YOUR website!
It hits when h=0, so:

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=1984 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.141941090707505, 2.64194109070751. Here's your graph:

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