Speed is the secular unit, which means it only measures "how fast it goes."
[tex]speed= \frac{distance}{time} [/tex]
Velocity is a victory unit, which means it measures "both how fast it goes AND the direction."
[tex]velocity= displacement/time[/tex]
Acceleration is the change of velocity over time.
[tex]acceleration = \frac{change in velocity}{time} [/tex]