Question

The speed of light is 3.00×108 m/s. How fast is this in miles per hour (miles/h)? Use the conversion 1mile=1610m.

Answer 1

speed of light in miles per hour will be
`6.709* 10^8miles/hour`

Step-by-step explanation:

We have given speed of the light
`v=3* 10^8m/sec`

We have to change this velocity in miles/hour

It is given that 1 miles = 1610 m

And we know that 1 min = 60 sec

And 1 hour = 60 minute

So 1 hour = 60×60 = 3600 sec

Here
`1m=(1)/(1610)=6.211* 10^(-4)miles`

And 1 sec
`=(1)/(3600)=2.77* 10^(-4)hour`

So
`3* 10^8m/sec=3* 10^8(6.211* 10^(-4)miles)/(2.777hour)=6.709* 10^8miles/hour`

So speed of light in miles per hour will be
`6.709* 10^8miles/hour`