Respuesta :

Answer:

B.) 1.13s; 27.25ft

Step-by-step explanation:

Ok so this is an projectile motion equation...

Haven't done one of these in a while but I could definitely try!

To do this, we need to use this particular equation

[tex]t = \frac{-b}{2a}[/tex]

We can substitute values into the equation to get the time it takes to reach the maximum height!

[tex]t = \frac{-36}{2(-16)} \\[/tex]

This is the same as...

[tex]t = 1.13[/tex]

We now know that it takes 1.13 seconds for the ball to reach its maximum height!

We can insert that into the original equation and simplify to get this answer:

[tex]= -16(1.13)^{2} +36(1.13)+7\\= -16(1.28) + 40.68 +7\\= -20.48 +47.68\\=27.20[/tex]

Alright so it's not exactly 27.25 but you get the gist.