Express the following speed in $m / s$ (metres per second):
$12.6 k m / h r$

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Solution

Converting the speed from $k m / h r$ to $m / s$ .
$12.6 k m / h r = \frac{126}{10} = \frac{63}{5} k m / h r$
We know that, $1 k m / h r = \frac{5}{18} m / s$
$\Rightarrow \frac{63}{5} k m / h r = \frac{63}{5} \times \frac{5}{18} m / s$
$\Rightarrow \frac{63}{18} = 3 \frac{9}{18} = 3 \frac{1}{2} m / s$
Hence, $12.6 k m / h r$ can be expressed as $3 \frac{1}{2} m / s$ .

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