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15 Nov 2026 · Sanjay Prasad

The formula says 5.1 m. The simulated drone took 6.3.

A textbook answer and a simulated drone disagree by more than a metre. The gap is 0.16 seconds long, and it is the part of the answer that gets you the job.

The reel this post is about. Open the question · Instagram ↗

The question in the reel is short. A drone is flying at a wall at 10 m/s. It brakes by tilting back 45° while holding its height. How far does it travel before it stops?

The textbook answer

A quadrotor can only push along its own body. Tilt it back by an angle θ and the thrust splits in two: one part still holds the drone up, the other pushes against its motion. Holding height fixes the first part, and that fixes the second:

So the answer is B, about 5 m, and it takes just over a second.

What the simulated drone did

The reel does not animate that formula. It flies a Skydio X2 model in MuJoCo with a real attitude controller, with air drag switched off so the comparison is fair. Then it is told to hold a brake tilt.

TiltFormulaSimulated drone
15°19.0 m in 3.80 s20.0 m in 3.89 s
30°8.8 m in 1.77 s9.8 m in 1.86 s
45°5.1 m in 1.02 s6.3 m in 1.13 s

Every run stops about a metre long. Not a percentage long: a metre, at every tilt.

Where the metre comes from

The formula assumes the drone is at 45° the instant it decides to brake. A real drone has to rotate there first. This one takes 0.16 s, and for that moment it is still doing close to 10 m/s.

A fixed delay at a fixed speed gives a fixed distance, which is why the error is the same size in all three rows. It also means the gentle stops look accurate (a metre in twenty) and the hard stop looks wrong (a metre in five), even though the cause is identical.

Why this matters in an interview

The expected answer is still 5.1 m, and B is still the nearest option. But the candidate who adds "plus roughly a metre, because it cannot pitch back instantly" has shown they know where the model ends. That sentence is worth more than the calculation.

You can check all of this yourself. The question page has a model with a third slider for the time it takes to pitch back. Set it to about 0.2 s and the model lands on the simulated numbers.

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