Answer:
The ball will reach the ground when h=0.
Set the equation equal to 0.
[tex]0=-8(2 t-4)(t+1)[/tex]
[tex]t=-1,2[/tex]
Step-by-step explanation:
The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation
[tex]h=-8(2 t-4)(t+1)[/tex],
where h is the height in feet and t is time in seconds.
When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.
To find the time it takes for the ball to reach the ground, set the equation equal to 0 and use the Zero Product Property to solve for $t$.
[tex]h=-8(2 t-4)(t+1)[/tex]
[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]
Solve the equation using the Zero Product Property.
[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]
[tex]t+1=0\Rightarrow t=-1[/tex]
So, [tex]t=-1,2[/tex]
