I lied on the title! My true claim is that characters above SSJ3 are FTL.
Alright, alright. I'm here to settle this petty argument.
I recall asking before how you can say powerlevels correlate with speed. The pro-DBZers insisted they were right without actual proof but childish speculation.
But I can actually prove the relationship between power levels and speed have relationship WITH Math. With this, I also prove that SSJ2 Goku is FTL while SSJ Goku isn't. This is a simple proof with no bullshit. Please take your time to read this.
When Goku first started out to cross snake-way, his power level was 334 without his weighted clothes. He crossed 1,000,000 km in 177 days. That means he was traveling at speed 235.404 km/hr.
When he finished training with King Kai, his power level was 9,000. He crossed 1,000,000 km in 2 days. He traveled at speed 20,833.33 km/hr.
Now = 334 : 235.404 km/hr to
9,000 : 20,833.33 km/hr
When you divide 9,000 by 334, the multiple is 26.9. If speed and power level have a linear correlation, their division should also yield the same 26.9. BUT IT DOESN'T! The division of the speed results in 88.5.
This means that every power level increase by 1 increases speed by 2.42 km/hr!
And we aren't even considering an EXPONENTIAL "r" relationship, which can mean even greater speeds. But let's focus on what we have now. Our "r" is still a constant 2.42.
We can now come up with this equation:
Speed in km/hr given power level = (x - 334)*2.42 given x = power level
SSJ Goku had a power level of 150,000,000 according to the Daizenshu. This means that, according to our equation (plug 150,000,000 into x), he had a speed of 362,999,191.72 km/hr. Speed of light is 1.07925285 × 10^9 km/hr. Goku is therefore slower than light by a lot.
However, if we take his later forms such as SSJ2/SSJ3 (SSJ has a x2 increase from SSJ1 and SSJ3 has a x4 increase from SSJ2 according to the Super Exciting Guide Story Volume), we are now dealing with an FTL SSJ3 Goku easily. At SSJ2, Goku's speed is still below the speed of light.
At SSJ3, his power level should be 150,000,000 x 8 = 12 x 10^8. His speed is now 2.903 x 10^9 km/hr. He is now faster than light speed!