0:00

This jet hit the ground so hard it left a crater in the road.

0:04

Why? Let's do the math. On the first of November, twenty twenty-six, a Learjet 60 fell from about ten thousand seven hundred meters over Greenacres, Florida.

0:14

Nine people were on board. In its last thirteen seconds, the ADS-B data shows it dropping about two hundred fifty-one meters every second, while moving forward at about one hundred twenty-three meters per second.

0:28

Join those two arrows with Pythagoras, and the speed is about two hundred eighty meters per second.

0:33

That's over one thousand kilometers an hour, diving at about sixty-four degrees.

0:38

A normal landing touches down at about three meters per second downward.

0:42

This was about eighty-four times faster, and the energy doesn't grow with speed, it grows with speed squared.

0:50

Kinetic energy is one half MV squared. The exact mass isn't published, so we estimate about nine tons.

0:58

Half of nine thousand times two hundred eighty squared is about three hundred fifty million joules.

1:05

That's like six hundred cars hitting a wall at one hundred kilometers an hour, all at the same moment, in one spot.

1:13

So how fast does it stop? The jet is about eighteen meters long.

1:17

Crushing into the ground, it stops in roughly that distance.

1:20

Deceleration is V squared over two D, about two thousand two hundred meters per second squared.

1:26

That's more than two hundred twenty G. The whole stop takes about zero point one three seconds, faster than a blink.

1:34

Force is mass times acceleration, about twenty million newtons.

1:39

That's the weight of two thousand tons pushed into about three square meters.

1:43

So the pressure is about six point five million pascals.

1:47

Sandy ground under a road is usually designed for only a few hundred thousand.

1:51

That's around twenty to thirty times too much.

1:54

The ground fails. Soil is pushed down and sideways, the road breaks apart, and a crater opens.

2:00

In South Florida, groundwater is close to the surface, and reports said water was found in the crater.

2:07

At these forces, a thin aluminum airframe breaks into small pieces.

2:11

As one Learjet captain explained, the energy transfer breaks apart the fuselage.

2:16

That's why so little wreckage was visible, and part of the tail was found up to six kilometers away, a sign the jet began to break up before impact.

2:25

Speed squared, huge energy, a tiny stopping distance, and a pressure the ground can't hold: that's the crater.

2:33

The cause of this crash has not been determined.

2:36

The NTSB is investigating, and these numbers are our own estimates.

2:40

Have a different idea? Share it in the comments.

2:43

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2:46

Your support helps us make more videos like this.

2:51

In memory of the nine people on board.

End of transcript · 471 words

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