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Measuring "pedal lag" in the Model 3?

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I want to precisely measure the time between pressing the acceleration pedal and when the car starts to move even a millimetre. So far, from tests I've done, I'm measuring around 120 milliseconds, but I want another way to back this up to make it a bit more conclusive.

I don't think the Model 3 has an OBD port, but is there another way I can achieve this? If it was an app of sorts, I'd need a log for the following:

1: Time in milliseconds

2: Pedal position

3: Distance travelled (millimetre or centimetre accuracy needed), or mph/kph (tenths of a mph or kph needed really)

Can this data be somehow obtained, perhaps via one of the numerous Tesla apps out there?