Question

How do you convert $29.5$ meters per second to kilometers per hour?

Answer 1

$\frac{29.5\times 60\times 60}{1000}=106.2$

Explanation:

To do this conversion, consider the following:

If you travel $29.5$ meters in $1$ sec, then:

in $2$ seconds, you will travel twice as far as in $1$ sec.
in $3$ seconds, you will travel thrice as far as in $1$ sec.
in $4$ seconds, you will travel four times as far as in $1$ sec.

in $1$ MINUTE you will travel $60$ times as far as in $1$ sec

in $1$ HOUR you will travel $60\times 60$ times as far as in $1$ sec.

So the distance travelled in $1$ hour is:

$29.5\times 60\times 60=106,200$ metres

To change metres into kilometres,$÷1000$

$106200÷1000=106.2km$ in one hour.

So, the process to convert $\frac{m}{s}\to \frac{km}{hr}$

$\frac{29.5\times 60\times 60}{1000}=106.2$ km/h