Convert 22m/s^2 to km/m^2?

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Answer 1 · 2018-05-29T06:37:00

$"79.2 km/min"^2$

$=> 22\ "m"/"s"^2$

Convert $"m"$ to $"km"$ as we know that $"1 km = 1000 m"$

$=> 22\ cancel"m"/"s"^2 × "1 km"/(1000 cancel"m")$

$=> 22/1000\ "km"/"s"^2$

Convert $"s"^2$ to $"min"^2$ as we know that $("1 min")^2 = ("60 s")^2$

$=> 22/1000\ "km"/cancel("s"^2) × (3600 cancel("s"^2))/(1\ "min"^2)$

$=> 22/1000 × 3600\ "km"/"min"^2$

$=> 22/(10 × cancel(100)) × 36 × cancel(100)\ "km"/"min"^2$

$=> (22 × 36)/10\ "km"/"min"^2$

$=> 792/10\ "km"/"min"^2$

$=> 79.2\ "km"/"min"^2$