F=ma 2015 Problem 7

The following information applies to questions 7 and 8}

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Carts A, B, and \mathrm{C} are on a long horizontal frictionless track. The masses of the carts are m, 3 m, and 9 \mathrm{~m}. Originally cart \mathrm{B} is at rest at the 1.0 meter mark and cart \mathrm{C} is at rest on the 2.0 meter mark. Cart A is originally at the zero meter mark moving toward the cart \mathrm{B} at a speed of v_{0}.

Assuming that all collisions are completely inelastic, what is the final speed of cart C?

Answer Choices
A. v_{0} / 13
B. v_{0} / 10
C. v_{0} / 9
D. v_{0} / 3
E. 2 v_{0} / 5