What exactly is the difference between $3 \mathrm m/\mathrm s^2$ and $3 \mathrm m/\mathrm s$? According to [Wikipedia](http://en.wikipedia.org/wiki/Meters_per_second_squared#Example)...

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> An object experiences a constant acceleration of one metre per second squared (1 m/s²) from a state of rest, when it achieves the speed of 5 m/s after 5 seconds and 10 m/s after 10 seconds.
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From this, it seems like that $1 \mathrm m/\mathrm s^2 = 1 \mathrm m/\mathrm s$, though that wouldn't make sense considering how they're treated as separate units.