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A vase falls off a table and shatters into three fragments

A vase falls off a table and shatters into three fragments which move away horizontally across the floor. Fragment 1 has half the mass of the original vase and travels with speed 34.5 cm/s. Fragment 2 has one-quarter the mass of the original vase and travels with speed 26.6 cm/s in a direction perpendicular to Fragment 1.

What is the speed (in cm/s) of the third fragment?

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