The position of a particle in cm is given by the function s(t)=2t^2-8t+1 where t is in seconds and t cannot be negative. a) Determine the initial position. b) Determine the time(s) when the particle reverses direction and make a sign table for velocity. c) Describe the motion of the particle – give times and displacements. d) Determine the total distance traveled by the particle in the first three seconds.

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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.