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Answer :

3.14=0.81(3.89) + 0.5a (3.89)^2

Solve for a

3.14 = 3.1509 + 0.5a( 15.1321)

3.14 =3.1509 + 7.56605a

3.14-3.1509 = 7.56605a

-0.0109 = 7.56605a

-0.0109/7.56605 = a

a= - 1.4406x10^-3