Question

The speed of light is about 3x10^8 m/s what is the speed of light in kilometers per hour

Answer 1

`3\cdot10^8 \ \frac{\big{m}}{\big{s}} =3\cdot10^5\cdot \frac{\big{10^3\ m\cdot 3600}}{\big{3600\ s}} =3\cdot10^5\cdot \frac{\big{3600\ km}}{\big{1\ hr}} =108\cdot10^7\ \frac{\big{km}}{\big{hr}}=\\\\=1.08\cdot10^9\ \frac{\big{km}}{\big{hr}}`

Answer 2

`3*10^8 (m)/(s) \\\\ 1m\to 10^(-3)km \\\\ 1s\to 36*10^(-4) h \\\\\\ 3*10^8* (10^(-3)km)/(36*10^(-4)s)= 10^8 * (10^(-3)*10^4km)/(12s)= \\\\ =10^8* (10m)/(12s)= \\\\ =10^8* 83*10^(-2) (m)/(s)=\\\\= \boxed{83*10^6 (m)/(s)}`