Respuesta :

The given equation can be solved as,

[tex]\begin{gathered} 3.14=(0.81)(3.89)+\frac{1}{2}a(3.89)^2 \\ a(7.566)=3.14-3.15 \\ a=\frac{-0.01}{7.566} \\ \approx-0.0013 \end{gathered}[/tex]

Therefore, the value of a is -0.0013.