SOLUTION: We are working with quadratic functions and their graphs. The question is: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, then

Question 23273: We are working with quadratic functions and their graphs. The question is: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, then its height is a function of time, given by s(t) = -16t^2 + 64t. Graph this function for 0 < or equal to t < or equal to 4. What is the maximum height reached by the ball?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!

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=4096 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0, 4. Here's your graph:

Your quadratic has a=-16, b=64, c=0
The max or min of this quadratic is
found at t=-b/2a =64/32 = 2
Put that value of "t" into the original
equation to find the correspondins "s"
value.
Cheers,
stan H.
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