The speed of sound in air varies with temperature. At a standard temperature of 20°C (68°F), the speed of sound is approximately 343 m/s.
Mach 19 is 19 times the speed of sound.
Therefore, Mach 19 ≈ 19 * 343 m/s = 6517 m/s.

Calculate the acceleration in m/s²: We can use the following kinematic equation:

v_f² = v_i² + 2 * a * Δx
- Where:
  - v_f is the final velocity (6517 m/s)
  - v_i is the initial velocity (0 m/s, assuming starting from rest)
  - a is the acceleration (what we want to find)
  - Δx is the distance (3 meters)
Plugging in the values:
- (6517 m/s)² = (0 m/s)² + 2 * a * (3 m)
- 42,471,289 m²/s² = 6 * a m
- a = 42,471,289 m²/s² / 6 m
- a ≈ 7,078,548.17 m/s²

Convert the acceleration to g's:

One g is the acceleration due to gravity at the Earth's surface, which is approximately 9.81 m/s².
To find the acceleration in g's, divide the calculated acceleration by the value of one g:
- g-force = a / 9.81 m/s²
- g-force = 7,078,548.17 m/s² / 9.81 m/s²
- g-force ≈ 721,564.5 g Therefore, you would experience an acceleration of approximately 721,564.5 g while accelerating to Mach 19 over a distance of 3 meters. Important Note: This is an extremely high level of acceleration, far beyond what any known biological organism or material could withstand. Such forces would be instantly fatal and would likely cause catastrophic structural failure.

I'm sure someone who's better at maths than me can tell me where the llm has gone wrong. But it sounds impressive.

[–] FartsWithAnAccent@fedia.io 14 points 6 days ago

I wouldn't even trust Gemini to set my alarm (it can't btw, it fucks up on something as simple as setting the alarm, wtf?)

[–] SkyezOpen@lemmy.world 3 points 5 days ago (1 children)

The ejection seat booster is actually a nuke.

[–] then_three_more@lemmy.world 1 points 4 days ago

It's the logical evolution of Operation Plumbbob's missing steel bore cap.

https://en.m.wikipedia.org/wiki/Operation_Plumbbob

[–] massive_bereavement@fedia.io 8 points 6 days ago (1 children)

So it's a pancake launcher.

[–] then_three_more@lemmy.world 18 points 6 days ago* (last edited 6 days ago) (1 children)

A man with an average height of 1.8 M and average weight of 89kg at 1G would weigh about 58,446 metric tonnes. To put that in perspective it's just a little under three quarters of the weight of a Queen Elizabeth class Aircraft Carrier or almost exactly 10% of the weight of your mum.

[–] SirSamuel@lemmy.world 4 points 6 days ago

[–] Kalcifer@sh.itjust.works 1 points 5 days ago (1 children)

[…] I’m sure someone who’s better at maths than me can tell me where the llm has gone wrong. […]

From what I can tell, the math is sound.

[–] then_three_more@lemmy.world 1 points 5 days ago

😲