Question

Algebra help needed

Answer 1

The ball will reach the ground when h=0.

Set the equation equal to 0.

`0=-8(2 t-4)(t+1)`

`t=-1,2`

Explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

`h=-8(2 t-4)(t+1)`,

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 $t$.

`h=-8(2 t-4)(t+1)`

`\Rightarrow 0=-8(2 t-4)(t+1)`

Solve the equation using the Zero Product Property.

`2t-4=0\Rightarrow t=(4)/(2)=2`

`t+1=0\Rightarrow t=-1`

So,
`t=-1,2`