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AP® Physics C: Mechanics

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Moderate

Center of Mass Velocity for 2 Arbitrary Particles

APPHMC-R7NPBN

Particle 1 with mass $M$ has $x$ position defined by the function $x_{1}(t) = 2t (t + 3)$ where units are in meters, time is in seconds, and are abbreviated in the function. Particle 2 has mass $2M$ and $x$ position defined by $x_{2} (t) = (t-1)(t-2) / 2$.

Considering the system of these two particles, what is the velocity of the center of mass of the system at $t = 2$?

A

5 m/s

B

9 m/s

C

10 m/s

D

10.5 m/s

E

16 m/s