q1 :event happens at point (2,0,0) and ta given by cta=1 and event occurs at (5,

Question

q1 :event happens at point (2,0,0) and ta given by cta=1 and event occurs at (5,0,0) ctb=3 what is the invariant between event A and B?

are te events separation by a space like ,time like or lihgt like interval ? is there a frame in which the event are simultaneous?

Q2: explain clearly why we need to use 4-vector and tensors to write laws of physics how does your explanation rate to the main posulate of the theroy of special relativity?

q3; A particale of rest mass is subject to aconstant force F(ordinary3-force) if it states form at the reigin t=0 find its postitionx as function of time using your answer argue that it is possible to outrun a light ray ,if you are given a sufficient head staet and your feet generate a constant force

Explanation / Answer

q1)

s^2 = dr^2 - (d(ct))^2 =(5-2)^2 - (3 - 2)^2 = 9 - 1 = 8

s^2 > 0   ==> space-like

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