Respuesta :

Answer:

[tex]t = 4[/tex] : Arrow hits the ground after 4 seconds.

Step-by-step explanation:

I assume you are going to ask when the arrow hits the ground, right? If so, follow these steps!

[tex]64t-16t^2=0[/tex]

We can factor/distribute to solve this...

[tex]16t(4-t)=0[/tex]

If this is true, then that means that...

[tex]16t=0[/tex] [tex]or[/tex] [tex]4-t=0[/tex]

[tex]t=0[/tex] [tex]or[/tex] [tex]-t=-4[/tex]

So the solution would be

[tex]t = 0[/tex] [tex]or[/tex] [tex]t=4[/tex]

In this case, we want to use 4.