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Changing the speed of light?

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I know things like water, glass and diamond slow light down but I was wondering about something like this.

If you shine directed light (like a laser) at a moving object will the distance be a constant or variable with the time being constant? So would that be changing the speed of light?

I will reply to any questions about the theory.

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In the moving frame (i.e. the frame of the object) the speed of light is still the same. It will see the light as having a frequency shift.

 

Yeah, I did a bit of research and I found out about it changing the frequency, Thankyou :)

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