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The vector position of a 3.15 g particle moving in the xy plane varies in time according to r1 = (3î + 3ĵ)t +...

The vector position of a 3.15 g particle moving in the xy plane varies in time according to r1 = (3î + 3ĵ)t + 2ĵt2 where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.75 g particle varies as r2 = 3î − 2ît2 − 6ĵt.


(a)Determine the velocity (in cm/s) of the center of mass at t = 2.80 s.


(b)Determine the acceleration (in cm/s2) of the center of mass at t = 2.80 s


(c)Determine the net force (in µN) exerted on the two-particle system at t = 2.80 s.

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