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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?

Respuesta :

irspow
The ball will hit the ground when h(t)=0 so:

16t^2-96t=0

16t(t-6)=0, since t>0

t=6

So the ball with hit the ground after 6 seconds.

The ball hit the ground after 6 seconds if Tanya kicks a ball into the air and the function that models this scenario is f(t) = –16t² + 96t.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t² + 96t

Plug f(t) = 0

–16t² + 96t = 0

After solving the above quadratic equation:

-t(t - 6) = 0

t = 0(initial time)  or t = 6

Thus, the ball hit the ground after 6 seconds if Tanya kicks a ball into the air and the function that models this scenario is f(t) = –16t² + 96t.

Learn more about the parabola here:

brainly.com/question/8708520

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