Converting Meters per Second Squared to Kilometers per Hour Squared

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SUMMARY

The conversion of 8.4 meters per second squared (m/s²) to kilometers per hour squared (km/h²) requires careful attention to unit squaring. The correct formula is 8.4 m/s² multiplied by (1 km/1000 m) and (3600 s/1 h)². This results in a final value of 108,864 km/h², highlighting the importance of correctly applying unit conversions, especially with squared time units.

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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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