Answer:
6 seconds
Step-by-step explanation:
To find the answer, we'll need to find the x-intercepts and choose the one with the higher value cause that's when the ball falls to the ground. To find the x-intercepts, we have to set the y value, h(t), to 0. When we do that, we have: -16[tex]t^{2}[/tex] + 96t = 0. No all we have to do is factor to find t. When factored, it becomes -16t (t-6) = 0. Now, set each of the factors to 0, and we have t = 0 or t = 6. Since 6 is the larger one, the ball will be in the air for 6 seconds.
