It's probably a loose connection somewhere and the only way you'll find it is to borrow, rent or buy a code scanner, take the vehicle for a ride, hit a bump and with the engine still running, check the codes. If you can't do it that way, leave the engine in diagnostic mode THEN take it for a ride and hit the bump. Either way, you need to isolate the problem to find out if it's a component that's failing internally when you hit the bump or if it's just a wire or connector.
There is a problem with the emissions system.
Turn your engine off, check the gas cap and restart your car. If that doesn't work, be more specific about which car you have or check your owners maunal.
symptoms of a bad sensor will be , engine cutting out then starting again as you drive. cutting out then being able to restart when vehicle is stopped. hard starting. if left long enuff before replacing, you will not be able to restart
no
check O2 sensor
If the engine stalls and won't restart for several hours on a 2003 Santa Fe, there is a problem with the computer in the vehicle. Check to make sure all computer fuses are working properly.
doubt that a t-stat would cause a car to shut down and restart when cold check for an ignition module proublem
Check your O2 filters
If the check engine light is on...might be a dirty EGR valve.
Check oil level install manual gauge to get accurate reading
If the check engine light is or has illuminated, have it scanned for codes. They may help find the cause.
Sounds like a fuel problem. Check your fuel filter. Make sure that gas is getting to the engine.