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Problem $15\mathrm{.}040-$ Ladder sliding out from the ground $-$ DEPENDENT MULTI$-$PART PROBLEM $-$ ASSIGN ALL PARTS

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part. A painter is halfway up a $10-$m ladder when the bottom starts sliding out from under him. Know that point $\backslash ($ A $\backslash )$ has a velocity $\backslash (\backslash$mathrm$\{$v$\}\_\{$A$\}=2\mathrm{.}4\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ directed to the left when $\backslash (\backslash$theta$=60^\{\backslash$circ$\}\backslash ).$

Problem $15\mathrm{.}040.$a $-$ Ladder sliding out from the ground

Determine the angular velocity of the ladder. $($You must provide an answer before moving on to the next part.$)$

The angular velocity of the ladder is

$*$ rad$/$s $($

$().$