Answer:
[tex]s=253.6524712 \approx 253.7[/tex]
Explanation:
From the question we are told that
Initial speed[tex]v=8ft/s[/tex]
Final speed [tex]v=128ft/s[/tex]
Generally the Newtons equation of motion is mathematically represented by
[tex]V_f^2-V_0^2=2as[/tex]
with
Therefore
[tex]a=g=>9.81m/s^2\\a=32.17ft/s^2[/tex]
Therefore
[tex]128^2-8^2=2*(32.17)*s[/tex]
[tex]16320=2*(32.17)*s[/tex]
[tex]s=\frac{16320}{2*(32.17)}[/tex]
[tex]s=253.6524712 \approx 253.7[/tex]