SOLUTION: The height h in feet of an object after t seconds is given by the function h = –16t^2 + 30t + 3. How long will it take the object to hit the ground? Round your answer to the

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Question 69252: The height h in feet of an object after t seconds is given by the function
h = –16t^2 + 30t + 3.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
I wish that I knew how to do this problem!
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
To find out how long it will hit the ground set h equal to zero and solve for t
Solve for t using the quadratic equation
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=1092 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.095169477616144, 1.97016947761614. Here's your graph:

The second answer t=1.97016947761614 is the time it took to hit the ground at the point where h=0 (the negative answer doesn't make sense).
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