The vector position of a 3.45 g particle moving in the xy plane varies in time according to , = (31 + 3)t + 2jr? where t is in seconds and F is in centimeters. At the same time, the vector position of a 5.20 g particle varies as i, - 3i - 2ir? - 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.90 s. x cm cm (b) Determine the linear momentum (in g · cm/s) of the system at t = 2.90 s. g- cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.90 s. cm/s Cm

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