Answer
$v=20.5\;m/s$
Work Step by Step
The flow within pipe of flow obeys the equation of continuity:
$A_1V=A_2v$
or, $v=\frac{A_1V}{A_2}$
Substituting the given values
$v=\frac{5a\times4.1}{a}\;m/s$
or, $\boxed{v=20.5\;m/s}$
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