The vector position of a 3.65 g particle moving in the xy plane varies in time according to r, = (3î + 3j)t + 2jt? where t is in seconds and ris in centimeters. At the same time, the vector position of a 5.45 g particle varies as r, = 31 - 2it² – 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.80 s. cm cm (b) Determine the linear momentum (in g· cm/s) of the system at t = 2.80 s. g. cm/s (c) Determine the velocity (in cm/s) of the center of mass at t = 2.80 s. Vcm = cm/s

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.