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I've been struggling with this problem from Rindler's "INtroduction to Special Relativity"...

given a particle that has :

[tex]\frac{dA}{d\tau} = {\alpha}^2 U[/tex] where A is four-acceleration and U is four velocity... using integration prove that this implies rectilinear motion.

If I integrate both sides and set the constant of integration equal to zero I get:

[tex]A = {\alpha}^2 x^i [/tex]

I don't know where to go from here. I'd appreciate any help.

given a particle that has :

[tex]\frac{dA}{d\tau} = {\alpha}^2 U[/tex] where A is four-acceleration and U is four velocity... using integration prove that this implies rectilinear motion.

If I integrate both sides and set the constant of integration equal to zero I get:

[tex]A = {\alpha}^2 x^i [/tex]

I don't know where to go from here. I'd appreciate any help.

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