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.

The ball will hit the ground after 6 seconds

Step-by-step explanation:

Function Modeling

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

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

Factoring

This leads to two answers, the first one is:

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

Solving for t

The ball will hit the ground after 6 seconds

take it another