Respuesta :

Answer:

9

Step-by-step explanation:

We know that

[tex]h(t)=-16t^2+1296[/tex]

The balls hits the ground when h(t)=0, so

[tex]-16t^2 + 1296=0 \\ \\ t^2 - 81=0 \\ \\ t^2 = 81 \\ \\ t=9[/tex]

Note I only considered the positive case because time must be positive.