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Speed of Light/ Relativity Question

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Referring to pic, let's say spaceship A and B are travelling at half the speed of light towards each other relative to the House (which is as far as I believe perfectly fine and within the bounds of the laws of physics).

Wouldn't each spaceship be travelling at the full speed of light when the reference is taken as the other spaceship? Which supposedly breaks the laws of physics, could someone please explain why this wouldn't work.
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File: Read A Book.jpg (65 KB, 566x480) Image search: [Google]
Read A Book.jpg
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Look up lorentz transformations. even more elementary/immediately applicable, look up relative velocity formula for one dimensional motion.
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>>7775510
each spaceship travels at (0.5c+0.5c)/(1+0.5c*0.5c/c^2) = 0.8c in the frame of reference of the other.
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I don't understand, anyone mind explaining
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>>7775510
no because of like dilation or somethin idk dude weed lmao
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