Astronomy question, can you help me solve this problem? and just so you know AU=astronomical unit
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Convert the 1AU and 1 Light year to a common unit - say, kilometers...
1AU = 149,669,180 KM
1LY = 299,792.5KM/sec X 60 sec X 60 min X 24 hr X 365.25 days = 9,460,731,798,000KM
(30km/s X 149,669,180km) / 9,460,731,798,000KM
= (4,490,075,400 km^2 / sec) / 9,460,731,798,000KM = 4.74 X 10^-4 Km/sec
So, the answer is, you'd travel the distance of 1AU/1LY in about 4.74 ten-thousandths of a second, traveling at 30km /sec.
1AU = 149,669,180 KM
1LY = 299,792.5KM/sec X 60 sec X 60 min X 24 hr X 365.25 days = 9,460,731,798,000KM
(30km/s X 149,669,180km) / 9,460,731,798,000KM
= (4,490,075,400 km^2 / sec) / 9,460,731,798,000KM = 4.74 X 10^-4 Km/sec
So, the answer is, you'd travel the distance of 1AU/1LY in about 4.74 ten-thousandths of a second, traveling at 30km /sec.
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AU/ly equals 1.59(10⁻⁵). Multiply that by 30km/s gives 4.76(10⁻⁴) km/s, which reduces to 0.476 meters/sec. You're dividing a distance by a distance. To what end it this done?