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Q.
$3.0\, ms^{-2}=$___ $km h^{-2} $
Physical World, Units and Measurements
Solution:
$3\, ms ^{-2}=3\, ms ^{-2} \times\left[\frac{1 km }{1000 m }\right] \times\left[\frac{3600 s }{1 h }\right]^{2}$
$\Rightarrow 3\, ms ^{-2}=\left(\frac{3 \times 3600 \times 3600}{1000}\right) km h ^{-2}$
$=38880 \,km\, h ^{-2}$
$\Rightarrow 3 \,ms ^{-2} \approx 3.9 \times 10^{4} km\, h ^{-2}$