Question

1 ms^-2=____kmh^-2. explain it

Answer 1

1 km = 1000 m

1 / 1000 km = m

1 / 10³ km = m

10^{ - 3 } km = m ------: ( 1 )




h = 60 minutes

h = 60 × 60 seconds

h = 3600 s

h² = ( 3600 )² s²

h² / ( 3600 )² = s²

( 3600 )² / h² = 1 / s²

( 3600 )² / h² = s^{ - 2 }

( 3600 )² × h^{ - 2 } = s^{ - 2 }-------: ( 2 )



Therefore ,

1 ms^{ - 1 }



From ( 1 ) and ( 2 ) ,



= > 1 × 10^{ - 3 } km × { 3600 }² × h^{ - 2 }


$= > {10}^{ - 3} \times (36 \times 100) {}^{2} \: \: \: km {h}^{ - 2} \\ \\ = > 1 {0}^{ - 3} \times {36}^{2} \times {100}^{2} \: \: km {h}^{ - 2} \\ \\ = > {10 }^{ - 3} \times {36}^{2} \times {10}^{4} \: \: km {h}^{ - 2} \\ \\ = > {36}^{2} \times 10 \: \: km {h}^{ - 2} \\ \\ = > 1296 \times 10 \: \: km {h}^{ - 2} \\ \\ = > 12960 \: km {h}^{ - 2}$




Hence,

1 ms^{ - 2 } = 12960 km h^{ - 2 }