The velocity of light is `3 xx 10^(10)` cm/s. Express it in miles/hour.

Explanation

Since, `1 cm = 6.214 xx 10^(-6)` miles and `1 s = 1/(3600)` hour.
Therefore, the conversion factor for cm is:
`1 = (6.214 xx 10^(-6))/(1 cm)`
and that for second would be:
`1=(1/3600) "hours")/(1 s)`
Hence, `3 xx 10^(10) cm//s = (3 xx 10^(10) cm xx (6.214 xx 10^(-6) "miles")/(1 cm))/(1s xx (1/(3600 "hours"))/(1 s))`
`=(3 xx 10^(10) xx 6.214 xx 10^(-6))/(1/3600)`
`=6.711 xx 10^(8)` miles/hour