The old calc uses cinematic timing.
Assumption: Toneri's beam fully extended in 10 seconds.
At full length it was comparable to the diameter of the Moon.
Diameter of the Moon= 3474 km (204 px)
Beam from pixel scaling: 17℅ of the Moon's diameter 34 px
Length of Beam (excluding Moon's diameter): 590.588 km
Length of Beam including Moon's diameter: 3474 km+ 590 588 m= 4064580 m
Low End:
v= 4064580 /10= 406 458.8 m/s
Mach 1378 or:
Massively Hypersonic+
However, the beam is diagonal and hence, we can't be sure that is the appropriate distance, hence, we must result the vector.
The beam is ~32° north East of the diameter.
Therefore, the vertical component= s cos 32 (As the vertical component is adjacent the angle)
s= 4064580 m
Hence total length= 3 446 959.331 m
Time: 10 seconds
High end:
Speed: 3 446 959.331 /10 sec= 344 695.9331 ms-1
Mach 1 168 or Massively Hypersonic+
Scalable to Toneri's attack speed and Naruto's reaction speed.