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I tried to prove this to myself and found an inconsistency.

**v**

v

_{0x}= -10 m/sv

_{1x}= 5 m/sHere, the magnitude of the velocity (speed) is decreasing. The velocity vector itself is positive, since it is going from the negative x axis to the positive x axis.

So we have a decreasing speed and a positive velocity.

Ok, so what about the acceleration?

I have

**a**which is a positive quantity.

_{x}= lim ((5 - (-10)) / [tex]\Delta[/tex]tSo we have a positive acceleration.

According to my book a positive sign on the velocity and a positive sign on the acceleration produce an increase in speed. Am I analyzing this in the wrong manner?

(sorry for the poor formatting, I'll improve with time)