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Accleration from 0mph vs 30mph, 60mph...

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I have the 60kWh and I've noticed that in unscientific tests and for "demo" purposes I get a bigger reaction flooring it at 30mph or 60mph than from a standing start. The torque curve for the car should be pretty linear from 0 to 70 so I wouldn't expect this.

I'm wondering:

1) If it may have to do with the traction control being more conservative from the start... Maybe it's easier to manage wheel slip at speed?
2) Maybe the real world drivetrain torque is not as linear as the theoretical charts which are probably engine-only.
3) If this is just due to our intuition about the acceleration of ICE cars from higher speeds.

When I have a safe place to do it I'll try measuring the acceleration of the car with my iPhone over different runs.