Answer:
[tex]a = 12.78 g's[/tex]
Explanation:
Height reached by the object after push off is given as
[tex]H = 2.3 m[/tex]
[tex]v_f^2 - v_i^2 = 2 a s[/tex]
now we have
[tex]0 - v^2 = 2(-9.81)(2.3)[/tex]
[tex]v = 6.72 m/s[/tex]
now we know that this push last for total distance of 0.18 m
so during the push we will have
[tex]v_f^2 - v_i^2 = 2 a d[/tex]
[tex]6.72^2 - 0 = 2a(0.18)[/tex]
[tex]a = 125.35 m/s^2[/tex]
now in terms of g = 9.81 m/s/s we have
[tex]a = \frac{125.35}{9.81} gs[/tex]
[tex]a = 12.78 g's[/tex]