Three friends, A B and C$,$ are all$$on ice and initially at rest. All three friends have the same mass. A bird, viewing things from above, watches the three$$push$$away from one another.

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After the three are separated from one another, the bird sees$$A$$moving up at $2\mathrm{.}00$ m$/$s and B is moving down and left at $2\mathrm{.}00$ m$/$s $($at an angle $45$ with respect to either left or down$).$

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Which of the following gives$$the final speed of C$?$