Respuesta :

Answer:

The value is [tex]s = 110.32 \ m[/tex]

Explanation:

From the question we are told that

   The initial velocity is  u=  46.5 m/s

Generally from kinematic equations we have that

     [tex]v^2 = u^2 + 2as[/tex]

Here  [tex]a = -g = -9.8 \ m/s^2[/tex]

   The negative sign is because it is moving against gravity

At maximum height v =  0 m/s        

So

     [tex]0 = (46.5)^2 + 2* (-9.8)s[/tex]

=>   [tex]s = 110.32 \ m[/tex]