Respuesta :

Answer:

The  value is  [tex]a = - 4.45 m/s^2[/tex]

Explanation:

From the question we are told that  

       The  initial speed is  [tex]u = 28 \ m/s[/tex] at a distance of  [tex]s_1 = 0 \ m[/tex]

        The  final speed is  [tex]v = 0 \ m/s[/tex]    at a distance of  [tex]s_2 = 88 \ m[/tex]

Generally  from the  kinematic equation we have that

       [tex]v^2 = u^2 +2as[/tex]

=>   [tex]a = \frac{v^2 - u^2 }{ 2(s_2 - s_1 )}[/tex]

=>  [tex]a = \frac{0 - 28^2 }{ 2(88 - 0 )}[/tex]

=>   [tex]a = - 4.45 m/s^2[/tex]

The negative sign shows that it is decelerating