My vue is over accelerating as soon as i start it. changed the tps and it still happens.

no miles stated, 400k miles> or 100 = 100k?
if any 95 has 100k miles that be like a new car. no ?
5k /year, wow...
trouble is i cant drive car. and see this effect.

the issue is acceleration, right? :called Hesitations !
and only happens on a hot engine , yes?
and never happens wide open throttle.? correct?
HAPPENS:
only when tipping in the throttle at cruise. (then self corrects )
THE TPS sensors does that.
The TPS is a demand sensor. it sees driver DEMAND
acceleration, and this is detected and the PCM goes to ENRICH mode. this is done or the engine goes LEAN until the MAP BARO READINGS, catch up and correct fueling.
that is my wild useless guess. (not driven and me not scanning the PCM while it fails.)

The TPS is a rate of change sensor.
This is because all air meters made are slow.
The TPS hides this fact. until bad.
there are other causes,but im not there with my scan tool..
and (box of gauges)

could be a bad throttle position switch, vacuum leak, etc: vacuum hose or EGR valve hanging open, intake problem. a throttle problem like the throttle linkage not allowing closed throttle. just some things it could be.

Check your TPS Sensor

couple of things to check is fuel pressure,tps(throttle position sensor),see if the egr is opening too soon.you may have to check the exhaust backpressure to see if it has a plugged exhuast system.

P0121 - Throttle Position Sensor/Switch A Circuit Range/Performance Problem

The Throttle position sensor is a potentiometer that measures the amount of throttle opening. As the throttle is opened, the reading (measured in volts) goes up. The powertrain control module (PCM) supplies a 5 Volt reference signal to the throttle position sensor (TPS) and usually a ground also. A general measurement is: at idle = .5 Volts; full throttle = 4.5 Volts. If the PCM detects that the throttle angle is greater or less than it should be for a specific RPM, it will set this code.

Potential Symptoms: Symptoms of a P0121 trouble code could include:
Malfunction Indicator Lamp (MIL) illumination (Check Engine Light or Service Engine Soon light)
Intermittent stumble on acceleration or deceleration
Blows black smoke on acceleration
No start

Causes: A code P0121 may mean that one or more of the following has happened:
TPS has intermittent open or short internally
Harness is rubbing and causing an open or short in the wiring
Bad connection at the TPS
Bad PCM (less likely)
Water or corrosion in connector or sensor

Possible Solutions:
1. If you have access to a scan tool, see what the idle and WOT (wide open throttle) readings are for the TPS. Check if they're close to the specifications mentioned above. If not, then replace the TPS and re-check.
2. Check for an intermittent open or short in the TPS signal. To do that, you can't use a scan tool. You'll need an oscilliscope. The reason is because scan tools take samplings of many different readings over just one or two data lines and can miss an intermittent drop out. Hook up your oscilliscope and watch the signal. It should sweep up and down smoothly with no drop outs or spikes.
3. If no problems were noticed, perform a wiggle test. Do this by wiggling the connector and harness while watching the pattern. Does it drop out? If so, replace TPS and re-check.
4. If you have no TPS signal, check for 5 Volt reference at the connector. If it's present, check the ground circuit for open or shorts.
5. Make sure the signal circuit isn't 12V. It should never have battery voltage. If it does, trace circuit for short to voltage and repair.
6. Look for any water in the connector and replace TPS as necessary.

Other TPS sensor and circuit related DTCs: P0120, P0122, P0123, P0124

get the insurance company and Saturn involved ASAP.

Good chance that the fuel filter may be getting to the end of it's life and needs to be replaced. Start with the simple, a dirty and clogged fuel filter will not have a DTC code or a bad fuel pump. Replace the fuel filter and check your fuel pressure to ensure your fuel pump can still provide the proper fuel pressure. Good luck and keep me posted, be glad to help you get your car running 100% again soon.

Is the service engine soon light on? I would suspect, based on your description, the TPS sensor may be open or the temperature sensor may have failed.
When you open the throttle the TPS sends the accelerator pedal information to the engine controller so the engine controller can add fuel and allow you to accelerate. If the TPS does not send the correct throttle position to the engine controller, no fuel is added and the engine stalls.
If the coolant sensor has failed, your fuel mixture will not be correct and engine can stall when accelerating.
If the service engine soon light is on, your mechanic will be able to determine which sensor has failed.
Hope this helps, good luck.

replace fuel pump inside tank