Answer:
4 seconds.
Step-by-step explanation:
The given equation is
[tex]h=-16t^2+64t[/tex]
where, h is height in feet of a golf ball above the ground after being hit into the air and t is the number of seconds elapsed since the ball was hit.
We need to find the time for the ball to hit the ground.
At ground level the height of ball is 0, i.e., h=0.
[tex]-16t^2+64t=0[/tex]
[tex]-16t(t-4)=0[/tex]
Using zero product property, we get
[tex]-16t=0\Rightarrow t=0[/tex]
[tex]t-4=0\Rightarrow t=4[/tex]
Therefore, it will take 4 seconds for the ball to hit the ground.