Question

Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t2 + 96t, where h is the height of the ball in feet and t is the time seconds.

When will the ball hit the ground?

The ball will hit the ground after
seconds.

Answer 1

the ball will hit the ground after 6 seconds

Explanation:

i got it right on the assignment

Answer 2

The ball will hit the ground after 6 seconds

Explanation:

Function Modeling

The following function models the heigh of the ball in feet kicked by Tanya after t seconds:

`h(t)=-16t^2+96t`

Note that if t=0, the ball has a height of h=0, which means it's kicked from the ground level.

We must find another value for t when the ball hits the ground. That will be done by equating the quadratic function to 0 and find the values of t

`-16t^2+96t=0`

Factoring

`t(-16t+96)=0`

This leads to two answers, the first one is:

`t=0`

which we had already talked before, and the other comes from

`-16t+96=0`

Solving for t

`-16t=-96`

`t=-96/(-16)=6 \ s`

The ball will hit the ground after 6 seconds