Throttle cable Our accelerator cable is loose what can we do about it its almost as if the gas pedal has sunken down

The pedal should NOT PUSH that cable - it SHOULD be loose. The pedal should PULL that cable.

The spring or wire that connects your pedal to the throttle body may broken or damaged. Check under your hood and look at the throttle body (it's the carburetor looking thing). There should be a steel wire connected to it coming from the back of the engine bay. It should connect on the side where you'll see a few springs. If nothing looks broken there, turn the part of the throttle body connected to the spring and wire. If it revs up when you move it, then the cable could be broken somewhere between there and the gas pedal.

Alternatively, the linkage on the pedal could have been disconnected some how. Check behind and above the gas pedal to see if eveything is connected properly.

Very easy to do. Take the old one off and you will see how easy. At the carburetor, the cable will be secured by a bracket. Unfasten it there, and then on the carb. roll the throttle back to wide open throttle, cable will be loose, lift it out of the groove it rides in and slide the end out of the throttle lever. At the firewall where cable goes to the gas pedal, there will be a rubber grommet that cable goes through. Just punch the rubber grommet out of the firewall.
Now on the gas pedal attachment, many different ways to secure it. Some just snap into a hole on back of gas pedal. If you can't see how to disconnect, take the gas pedal off-usually held to floor by two screws-and turn the pedal around to see how the cable connects. Once disconnected, the cable can be removed, usually drawn out of firewall on the engine side.
Good luck. Now the next time you have to replace it (like 25 years, !) you will know how to do it. Keep the old Honda running!

When my car had this problem it was frayed cable. The frayed wires can catch on the inside of the cable jacket or at the end of the cable. That would be my suggestion.

Inspect the cable to the throttle control mechanism under the hood? All all the cables in their proper tracks? Are any cables wrapped the wrong direction, or out of the in-line track?

The throttle is operated by a cable from the pedal to the engine throttle. That cable is either broken or has come loose from the pedal or the engine throttle. Check the pedal first. If the pedal does not have any return spring and falls to the floor the cable is most likely the problem. If you are familiar with the engine components and can see the throttle and cable you could have someone try to operate the pedal without the engine running. If it has come loose from the throttle you should see it move. If not you and appears to be connected to both the throttle and pedal the cable is broken. You will have to have a new cable installed if it has broken. Good luck.

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Replace the cable with one from your local auto parts store or dealer.
It may be for cruise control if your cruise control no longer works.
Or, it may be for the accelerator pedal.

the gas pedal is connected by a cable that goes to the throttle body or carburetor on the engine. there should be a nut that holds the cable end in place where the steel cable comes out of the housing near the throttle body. it sounds like this may be loose or stripped out. you may need to replace the entire throttle cable.

CHECK YOUR ACCELERATOR PEDAL POSITION SENSOR.LOOK FOR LOOSE BOLTS OR LOOSE CONNECTOR.THE APP SENSOR IS LOCATED ON ACCELERATOR PEDAL ARM.

it is a dirty throttle plate. $280 is an absolute ripoff for a cleaning, it is about 10-15 minutes of work. They are probably quoting replacing the throttle body which about a $150 part.

Got to Autozone and get "CRC Throttle Body Cleaner". Remove aire inlet hose at throttle body with a screwdriver. Spray a *small* bit onto throttle plate, use clean rag or qtips to remove gum/varnish. Spray pivots and also clean around perimeter of the plate. Take it to an independent mechanic if you are unsure of the procedure.