If you have the 99 -02 Cougar replace the TPS (throttle positioning sensor) on the throttle body.
if it was electical u would notice gauges fluctuating. cougars have problems with the fuel filters getting clogged which would cause hesitation and in extreme cases stalling
Symptom of bad fuel filter= stalling when slowing down to stop at lights or stop signs.
under the head liner you will have to pull it down to get the motor
vacuumm leak
The steering wheel shimmering could be warped front rotors, when slowing down. The stalling when slowing down could be a bad fuel filter.
the fuse box on a 86 cougar is down beside your emergency brake release. It has a cover, comes off easy
Battle of Stalling Down happened in 1403.
I just put a new battery and alternator in my car, but when i put it in gear or start slowing down to stop..the car die out. Also the brake light is continely on.
go to autozone .com they give free tech help that can be down loaded
Gradually slowing down is 'decelerating'.
If your question refers to the Mercury Cougars produced between 1999 and 2002' then you have several options. Assuming that it is a V6, for a stock replacement, you can either track down another Cougar, or find a V6 Mercury Mystique, or Ford Contour, or provided you are in Europe, a Ford Mondeo of a similar year and engine. If you want a little more muscle in your Cougar, you can track down and attempt a 3.0L conversion using the engine from a 2003-2005 Taurus or Sable, or similar Escapes. If you have the I4 version of the Cougar, I think a motor out of similar Contours and Mystiques will work no problem, but I think that the motors from the Focus are different and need a good bit of modification to fit right in a cougar.
Deceleration refers to the decrease in speed or slowing down of an object over time. It is the opposite of acceleration, which involves an increase in speed.