[tedmiston]

First comment: "venky said...

He claims in his model, 'his car decelerated at - 10 m/s^2 and, instantaneously, accelerated to + 10 m/s^2 at t = 0'.

No known mechanical system is capable of achieving such an instantaneous jump without a tail-off period. ...."

[xxbondsxx]

MechE here, electrical motors can obtain almost instantaneous acceleration / full torque at 0rpm. Their torque curves typically look like this:

http://www.jmag-international.com/catalog/img/e68-3b.gif

The brakes are independent, so it's not as if one system has to provide both accelerations, one just needs exceptional timing of the feet. A lot of rally car drivers can do similar maneuvers

This is the same reason why the Tesla Roadster has such a killer 0-40mph