Slow acceleration, high rpm

FORGOT TO SCAN THE PCM I SEE.
check all fuses.?
not told
fails hot and cold engine or both
car must be in transmission DRIVE selected? right?
and foot off gas pedal (accelerator)_ rpm goes to 2000 or up to 6000 rpm . and or
so driving foot off the pedal and RPM goes too high
or in drive, I step on the throttle (gas) and RPM shoots way high
and Never leaves 1st gear. that is transmission failures.
in DRIVE.
if rpm also goes that high right foot doing nothing and in park
that is engine idle control's failing.
we can not see you drive or how. so answers can be a tad hard.
in what gear? PRNDL (choices)
right foot doing what?
and what SPEED is too slow 20 or 85mph? or?
does tranny fail to upshift?

Need to take to a shop with a GM tech 2 or higher scan tool. These tools can actually display various sensor readings and voltages in real time and can be used while driving the car to recreate the issue. These are super expensive scan tools so most shops don't have them. Call around or bite the bullet and have a dealer do it. The money you spend on a correct diagnosis will be saved by not throwing random parts at it based on guess work.

run the fault codes and check for an accelerator position sensor fault or an throttle actuator motor problem

You do not have a timing belt

You need a mechanic to actually listen
to & diagnose those issues

Not something one can do over the internet

This sounds like a vacuum leak prob. At low acceleration there isn't quite enough vacuum for smooth shift.. But romp on it and it creates a vacuum at the same rate as your gas is getting sucked.

sounds like 3rd gear/clutch is worn.I don't think a service will do any good.But if you remove the pan and find debris you know you will need a trans in the near future.

Try changing the map sensor it controls idle and it could affect your car like that...........

Check timing chain. Sounds like it may have jumped a cog.

92 Buick lesabre 97000 miles, on slow acceleration, @ 40mph going into 4th gear there is a mild chutter, same @ 50mph going into OD mild chutter and when down shifting from OD to 4th. All is when slow acceleration. When I say slow acceleration, I mean I drive like a older senior citizen when everyone behind me is annoyed I don't just donor and go. When I do romp to accelerate quicker, there is no chutter at all. Fluid is good and at perfect level. Any ideas? Great car just wondering the scoop is

SHift solenoid pressure switch