Light from the sun reaches Earth in 8.3 min. The velocity of light is 3.00 108 m/s. Given this info, how would you determine how far the Earth is from the sun?

##d = 1.49 xx 10^11 “m”##

Velocity is defined as the rate of travel, and can be found using the distance formula.
##”velocity” = “distance”/”time”##
Rearranging this formula we can solve for distance given velocity and time of travel.
##d = vt##
We are given velocity and time, and so can solve for distance, but if we plug in the values given;
##d= (3.00 xx 10^8 “m/s”)(8.3″minutes”)##
We can see that the units do not match up. Since seconds are the SI unit for time, we will need to convert 8.3 minutes to seconds.
##t = (8.3 “minutes”)(60 “seconds/minute”)=(498 “s”)##
Now our units work out and we can solve for distance.
##d = (3.00 xx 10^8 “m/s”)(498 “s”)##
##d = 1.49 xx 10^11 “m”##

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