A $48$ g marble moving at $\backslash (2\mathrm{.}3\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ strikes a $30$ g marble at rest. Assume the collision is perfectly elastic and the marbles collide head$-$on$.$

Part A

What is the speed of the first marble immediately after the collision?

Express your answer with the appropriate units.

$\backslash [$

v$\_\{1\}=\backslash$square$[$

$\backslash ]$

Part B

What is the speed of the second marble immediately after the collision?

Express your answer with the appropriate units.

$\backslash [$

v$\_\{2\}=[$

$\backslash ]$