Thursday, April 16, 2015

At 1 kilometer per second how long would it take to travel to a star 4.4 light years away?

A light year is the distance light would travel in one year's time.


The first step is to convert 4.4 light years to kilometers. Light travels at 300,000 kilometers per second. There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day and 365 days in a year, so 1 light year is equal to 9.4608x10^12 kilometers.  


`300000*60*60*24*365 =9.4608*10^12 km=1 lightyear`


Now we multiply by 4.4 to find...

A light year is the distance light would travel in one year's time.


The first step is to convert 4.4 light years to kilometers. Light travels at 300,000 kilometers per second. There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day and 365 days in a year, so 1 light year is equal to 9.4608x10^12 kilometers.  


`300000*60*60*24*365 =9.4608*10^12 km=1 lightyear`


Now we multiply by 4.4 to find the total number of kilometers.


`9.4608*10^12*4.4=4.1627*10^13 km`


To travel 4.1627x10^3 kilometers at a speed of 1 km/s would require 4.1627x10^13 seconds. We can convert this back to earth years to get a better sense of just how long it is.


`4.1627*10^13-:60-:60-:24-:365=1.3199*10^6` years.


So it would take approximately 1.32 million years to travel the distance of 4.4 light years at a speed of 1 km/s.

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