Question

Convert the speed of light, 3.0 x 10^8 m/s, into mi/hr. (1610 m = 1 mi). Could you please explain step by step thank you!

Answer 1

`v=6.7* 10^9\ mi/hr`

Step-by-step explanation:

Given that,

The speed of light is 3×10⁸ m/s

We need to convert it into mi/hr.

Since, 1 mile = 1610 m

1 hour = 3600 s

So,

`v=3* 10^8\ (m)/(s)\\\\=3* 10^8\ \frac{(1)/(1610)\ \text{miles}}{(1)/(3600)\ s}\\\\=6.7* 10^9\ mi/hr`

So, the required speed of light is
`6.7* 10^9\ mi/hr`.