Y cadillac won't accelerate. It'll go when I first turn it on, but after a while of riding, the next time I stop and try to go again, it won't go, I have to lightly press the gas pedal a couple of tim

Could be the crankshaft sensor, or even water in the gas will do this try a can or two of dry gas first. Is the check engine light on? When was it serviced last? Such as tune up, air cleaner, fuel filter, plugs etc.

And you had all the data looked at with a scan tool
& road tested or your just discussing the what if's?

Vehicle Preventative Maintenance Log Book ?

Just drive & never work on it ?

transfluid check it have the moter cleand then check for leaks

How many miles are on it? Could be timing chain wear.

Get a schematic for the car and clean and work every connection in the wiring to your switch. Also chemically clean the innards of your switch(s)

CHECK BATTERY CONNECTIONS, STARTER CONNECTIONS, WHAT DO YOU DO WHEN IT DOESN'T START, TO GET IT GOING AGAIN, DO YOU GET A JUMP START IF SO CHECK CONNECTIONS.

You'll have to figure out if it is a fuel or ignition problem.
Is the check engine light on ? Have you checked for trouble codes ?
It could be a relay, the ignition module, coil, fuel pump, or a list of other things.

TRY THE FUEL FILTER FIRST IF THE FUEL PUMP WAS GOING BAD IT WOULD STALL AS YOU PUSH ON THE GAS PEDDLE AND PUMPING THE PEDDLE WOULD NOT HELP FUEL INJECTION AND PUMPING THE GAS WILL HAVE NO EFFECT ON THE RUNNING OF THE VEHICAL

google your fault code i do!

ALL Grounds Need to Be Checks on this Including BATTERY They MUST Be CLEAN this Sounds Like a Poor Ground Problem.