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Why is the SI unit for acceleration m/(s^2)?

  1. May 14, 2008 #1
    Why is the SI unit for acceleration [tex]\frac{m}{s^2}[/tex](meters per second squared) when it is actually [tex]\frac{m}{\frac{s}{s}}[/tex] (meters per second per second). Isn't the part concerning the seconds different? Wouldn't this give you different answers sometimes, or does that usually never get in the way.
  2. jcsd
  3. May 14, 2008 #2


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    Science Advisor

    meters per second per second is the same thing as meters per second squared. If you want to do it division style, the seconds move to the denominator so you might as well write s*s as s^2.
  4. May 14, 2008 #3


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    The way you've written it is not correct. It is [tex]\frac{\frac{m}{s}}{s} = \frac{m}{s}* \frac{1}{s}[/tex]
    Last edited: May 14, 2008
  5. May 15, 2008 #4
    Thank you. That makes a lot more sense now. So [tex]\frac{\frac{m}{s}}{s} = \frac{m}{s}* \frac{1}{s}=\frac{m}{s^2}[/tex].
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