Can Spaceships Travel Faster Than the Speed of Light?

multiix
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Two spaceships are traveling relative to Earth (stationary). One spaceship is going to the right at 0.8c the other is going to the left at 0.8c. Could you say their relative speed to one another is .8c+.8c? I'm thinking not since you can't possible go faster then the speed of light, doesn't matter what the frame of reference is.

Please Help me with the Theory behind this
 
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multiix said:
Two spaceships are traveling relative to Earth (stationary). One spaceship is going to the right at 0.8c the other is going to the left at 0.8c. Could you say their relative speed to one another is .8c+.8c? I'm thinking not since you can't possible go faster then the speed of light, doesn't matter what the frame of reference is.

Please Help me with the Theory behind this

That is their relative speed wrt the earth, not the speed of one to another (note that "relative" can be omitted for the last). So, if for relative speed you use the definition of "difference of speeds" (as Einstein did and as I learned it) then it does matter what the frame of reference is. Further, see the links already provided.
 
This appears to be part of a homework assignment.
 
Thread 'Can this experiment break Lorentz symmetry?'

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Thread '1-Way Speed of Light'

Does the speed of light change in a gravitational field depending on whether the direction of travel is parallel to the field, or perpendicular to the field? And is it the same in both directions at each orientation? This question could be answered experimentally to some degree of accuracy. Experiment design: Place two identical clocks A and B on the circumference of a wheel at opposite ends of the diameter of length L. The wheel is positioned upright, i.e., perpendicular to the ground...
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Thread 'Relativator (Circular Slide-Rule): Simulated with Desmos - Insight'

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