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#