Answer:
We have the following function:
[tex]h(t)=-16t^2+110t+72[/tex]
And this function models the height [tex]h[/tex], in feet, of an object above ground [tex]t[/tex] seconds after being launched straight up in the air. The graph of this function is shown below. So we want to know what the number 72 represents. Well, what if [tex]t=0[/tex]?
If [tex]t=0[/tex] we have:
[tex]h(0)=-16(0)^2+110(0)+72 \\ \\ \boxed{h(0)=72}[/tex]
Thus, 72 is the height of the object above the ground at [tex]t=0[/tex]. In other words, 72 is the initial height of the ball before being launched straight up in the air.
