Question

3.0 m s⁻² = _____ km h⁻² Fill in the blank.

Answer 1

$<i><b>Hii !!<b><i>$

Here is your answer !!

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We know :

$1 \: m \: = \: \frac{1}{1000} \: km \\ \\ 1 \: sec \: = \: \frac{1}{60 \times 60} \: hours$

Using these , We will convert 3.0 m/s² to km/h²

$\frac{ \frac{3}{1000} }{ \frac{1}{60 \times 60} } \\ \\ = > \frac{3}{1000} \: \times 60 \: \times 60 \\ \\ = > \frac{3}{10} \times 6 \times 6 \\ \\ = > 10.8 \: km \: {h}^{ - 2}$

Ans ) 3.0 m/s² = $<u>10.8 km/h²<u>$

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Thanks !!!

Answer 2

Here is your answer

1m = 1000 km
3m = 3/ 1000km

1s = 1/60 hr


$3.0 \: m \: s {}^{ - 2} = \frac{ \frac{3}{1000} }{ \frac{1 \times 1}{60 \times 60} } \\ = \frac{3 \times 60 \times 60}{1000 \times 1 \times 1} \\ = 10.8km \: h {}^{ - 2}$
Hope it helps you