Question

If a bullet travels at 593.0 m/s, what is its speed in miles per hour?

Answer 1

We have
`1 \; mile = 1609.34\; meters`. So,
`1 \; meter = (1)/(1609.34) \;mile`.

`1 \; hour = 3600 \; s`. So
`1 \; s = (1)/(3600)  \; hour`.

Thus we can convert the units of the given quantity.

That is,

`593\;m/s=593\;(1/1609.34)/(1/3600) \;miles/hour\\ 593\;m/s=1,326.51\;miles/hour`.

The quantity is converted to the required units.