Converting Meters per Second Squared to Kilometers per Hour Squared

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To convert 8.4 m/s² to km/h², the correct formula accounts for the squared units of time. The conversion involves using the factor of 1 km = 1000 m and squaring the time conversion factor of 3600 s/h. The calculation results in 108864 km/h². The initial mistake was incorrectly using the conversion factor for distance. Understanding the squared units is crucial for accurate conversions.
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The question is to convert:
8.4 m/s^2 into km/h^2
I did:
8.4m/s(1000km/1m)(3600s/1h)= Wrong.
lol So what didn't I do right? I cancled out the m and s for km and h but according to my book this is wrong?
Thanks
 
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The units of time are squared, so you might need to take that into account with your time conversion.
 
8.4 m/s^2 into km/h^2
8.4m/s^2(1km/1000m)(3600s/1h)^2
=8.4*3600*3600/1000
=8.4*3.6*3600
=30.24*3600
=108864 km/h^2
 
Pencil I believe that your probleme (aside from the squares) was that 1000m=1km and not 1000km=1m.
 
Oh! lol I'm so slow. Thanks all, I get it now.
 
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