The $3\mathrm{.}6-$lb rod $AB$ is hanging in the vertical position. A $1\mathrm{.}9-$lb block, sliding on a smooth horizontal surface with a velocity of $12f\frac{t}{s},$ strikes the rod at its end $B.$

$($Figure $1)$

$8$

Figure $1$ of $1$

Determine the velocity of the block immediately after the collision. The coefficient of restitution between the block and the rod at $B$ is $e=0,81.$

Express your answer to three significant figures and include the appropriate units.

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