That... is not accurate at all.
It will take WAY more energy to accelerate it quickly... while in the S the difference isn't massively apparent, the difference is there.
With a daily commute of under 40 miles... I just punch it off the line... almost every time... don't really care lol.
I'm sorry but it is accurate.
Work = integral(F(t)v(t) dt, 0 to T) where F(t) is Force, v(t) is velocity at time t, T is total time of acceleration. But under constant acceleration, v(t)=Ft/m where m is mass and force F is constant.
= integral(F^2 * t/m dt, 0 to T)
= F^2 * T^2 / 2m
But, F=ma, so T is inversely proportional to F, T = V/a = Vm/F where V is target velocity.
= F^2 * (Vm/F)^2/ 2m = F^2 * V^2 * m^2 / (F^2 * 2m )
= mV^2/2
This is independent of rate of acceleration.
(Disclaimer: The equations written out above are stolen from ItsNotAboutTheMoney on this board, from this post:
http://www.teslamotorsclub.com/show...erating-slowly?p=649186&viewfull=1#post649186)
In simpler terms: rate of acceleration is irrelevant since the work required to add a certain amount of kinetic energy to a given mass is the same (i.e. to accelerate a 2 ton Model S to 65 mph requires the same amount of energy regardless of if you do it fast or slow).
Now in real life there are some factors to consider:
Higher heat losses in the drive train and possibly also a bit in the tires with faster acceleration. Higher omhic losses in the battery and inverter with higher current draw. The electric motors is very efficient from 0 RPM so that doesn't matter much, and in fact electric motors are more efficient at higher loads, which in fact favors faster acceleration.
I stand by my claim that the difference is negligible and that any experienced real world differences are due to these other factors:
More braking, less overall efficient driving style, going faster in general.
Please don't make the mistake of confusing accelerating quickly with going faster. Going faster obviously uses more energy, but also gets you there faster.