A $34-$g projectile is fired with a horizontal velocity of $456\frac{m}{s}$ and becomes embedded in block $B$ which has a mass of $3$

kg $.$ After the impact, block $B$ slides on a $30-kg$ carrier $C$ until it impacts the end of the carrier.

Knowing the impact between the projectile and $B$ is perfectly plastic, determine the velocity of the projectife and $B$ after the first

impact. $($Round the final answer to three decimal places.$)$

The velocity of the projectile and $B$ after the first impact is

$\frac{m}{s}$larr