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At time t’=0.4 ms, as measured by Alice, in the coordinate system K’, a particle is...

At time t’=0.4 ms, as measured by Alice, in the coordinate system K’, a particle is at the point x’=10 m, y’= 4m, z’=6m. (Note that this constitutes an event). Compute the corresponding values of x,y,z,t, as measured by Bob in coordinate system K, for

(a) the velocity of K’ relative to K along the common xx’ axis is v= +500 m/s

(b) the velocity of K’ relative to K along the common xx’ axis is v= −500 m/s and

(c) the velocity of K’ relative to K along the common xx’ axis is v= 2×108 m/s

(d) when you compare the answers of the different cases what do you notice about the role of the magnitude of the relative velocity (especially when comparing the results of a and b with the result of c)?

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