Answer:
Explanation:
[tex]v_f^2 = v_i^2-2a(x_f-x_i)[/tex]
Subtract both sides by [tex]v_i^2[/tex]:
[tex]- v_i^2+v_f^2 = -2a(x_f-x_i)[/tex]
Divide both sides by -2*a:
[tex]\frac{v_i^2 - v_f^2}{2a} =x_f-x_i[/tex]
Add both sides by [tex]x_i[/tex]:
[tex]x_i+\frac{v_i^2 - v_f^2}{2a} =x_f[/tex]
Subtract both sides by [tex]\frac{v_i^2 - v_f^2}{2a}[/tex]:
[tex]x_i=x_f-\frac{v_i^2 - v_f^2}{2a}[/tex]