Is the Universe expanding faster and faster or does it only seem that way?

Just because the stuff farther out is moving faster than the stuff nearer the center does not necessarily mean that the Universe is expanding faster and faster.  If you set off a firecracker in the middle of a bunch of deer, the fastest ones will be farther from the center at any point in time even if their individual speed is constant. 

Do the "laws" of physics require that all things move at the same relative speed in this situation? 

What if some other factor is causing things to move at different speeds?
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