Introduction[]
The full video for the feat can be found here.
Kamehameha's Speed[]
Speed = Distance / Time
Distance[]
The average distance from the Earth to the Moon is 384,400 km, with Akira Toriyama also thinking it should be at least 380,000 km.
Timeframe[]
Roshi's Kamehameha begins to fire at frame 777, and it reaches the Moon at frame 1160, which is shown by it exploding.
1160 - 777 = 383 frames
383 frames / 30 fps = 12.7666667 seconds
Results[]
384,400,000 meters / 12.7666667 seconds = 30109660.5 m/s or 0.100435017c (Barely above baseline Relativistic)
Moon Bust Energy[]
This end will be assuming the fragments traveled the radius of the Moon.
Kinetic Energy = 0.5 * mass * velocity2
Mass[]
The mass of the Moon is 7.342e+22 kg.
Velocity[]
The Moon starts exploding at frame 1160, and a majority of the fragments fly off screen at frame 1286. This gives us a timeframe of 130 frames or 4.2 seconds at 30 fps.
The Moon's radius is 1,737.5 km.
1,737,500 meters / 4.2 seconds = 413690.476 m/s
Result[]
KE = 0.5*7.342e+22*413690.476^2
KE = 6.28254242e33 Joules or 1.5 Yottatons (Planet level)
Results[]
Kamehameha's speed: 0.1c (Relativistic)
Moon Destruction Yield: 1.5 Yottatons (Planet level)