Answer
$v_A = 3.0 m/s$
Work Step by Step
We know that:
$v_f^2 = v_i^2 -2ad$
Thus, we obtain:
$(1/3v_A)^{2}=1/9v_A^2 = v_A^2 - 2*(-9.8m/s^2)(0.40m)$
Solving for $v_A$, we obtain: $v_A = 3.0 m/s$
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