370z and Turbonique

510z

Mythbusters used solid JATO rockets strapped to the roof which in no way interacted with the vehicles drivetrain.

turboniques concept was to have a liquid fuel rocket engine which would spin an impeller conected to an output shaft. that shaft would either connect to the rear differential in their drag axle kit or spin a supercharger under the hood in their blower kit. either way power is put to the ground through the wheels mechanically instead of the rocket just pushing the car with its thrust.

talk about no turbo lag