Originally posted by dadudemon
Earth's circumference: 40,075 kmSpeed of light in kmh: 1,079,252,850 kmh
I assume you're getting your numbers about the size of Namek from the narutoforums:
http://www.narutoforums.com/blog.php?b=16051
They conclude 3.5 times as large as the Earth's.
So going 3.5 times the earth's circumference in half a second:
40,075kmh/.5s = 80150km in 1 second.
80150 kms to hours: 80150*3600 = 288,540,000 kmh
288,540,000 kmh/1,079,252,850 kmh = .267 = 26.7%
It is 26.7% the speed of light.
It just so happens I can do Lorentz Transformation (relativistic mass) math. I'm skipping the "show your work" part because that would take too long to type out.
At 26.7% of the speed of light, the relativistic change factor becomes ~1.038 meaning that Goku's mass would increase by by a factor of 1.038. Not that much.
So what's next?
This is ****ing saddening. My 10 year old niece is a better mathematician.
First of all, Earths circumference is 40,008 km.
Second of all, that times 3.5 is 140,028 km(in half a second).
Next, we take the speed of light(in km) and divide it by 60, then 60 again, then by 2. This gives us 149,896.2 km/half second.
Still not light speed. However, as I pointed out before, that's not quite correct. Roshi and Krillin threw several punches and kicks in 1/5th of a second while still toying around. They had power levels of less than a hundred each(Roshi used only 3 quarters of his power until he fought Goku, as he stated in the manga). Now, Frieza used only 6 million of his PL to stomp Vegeta. So, it would take Frieza less than a 3 millionth of a second(or 0.000003 seconds) to throw a punch AT THE MOST. Now, since Goku traveled there as Frieza threw the punch, and got there before it landed, Goku traveled there in a 3 millionth of a second AT LEAST.
So, to calculate the speed, we use the speed of light(in km) per second, which is 299,792.4 km/second. Now, we take the distance of Namek, 140,028 km, and we divide it by two because Goku only traveled half of it, which means he traveled 70,014 km. So, we can say he traveled 70,014 km in 0.000003 seconds. Now, we take the amount of time multiplied by one million, then divided by three to simplify it to one second. Now, we do the same to the distance. This makes Goku able to travel 23,338,000,000 km per second in the Frieza saga easily in base without Kaioken and with a power level of 3 million(according to the Daizenshuu). That is over 77,847.2 times faster than the speed of light, FYI.
Don't bother calcing that now, it would probably be wrong anyways.
So what's next?