Accelaration??? my 03 ford escape wonk go past 4k rpm or 35-40 mph battery light is flikering and it sputters or hesitates trying to get there. im stumped

Burn ignition coil get the car pass on a scanner im sure you get a misfire code

Sounds like your spark plugs need replaced. ( long shot answer)

4000 rpm is pretty high..it may have a fuel cut off for extremely high operation to prevent blowing it up..why so high?? most run between 2200-3000rpm..not 4000...

Pushing coolant back into reservoir at high RPM is a sign of a leaking head gasket. It's pushing exhaust gas into the coolant. P0600 Serial Communication Link Malfunction

At 4000 rpm what does your speedo say. Your computer may be limiting both your mph and your rpms. I have a 2004 Ford Ranger at 90 mph the engine sputters and seems to miss. It will stay at 90. In neutral it revs fine. My problem is because of chip programming in the computer. Your problem may be the same.

First thoughts are low fuel pressure or a restriction in the exhaust.
Is the check engine light on ?

Try cleaning the Mass airflow sensor and replacing the air filter. You can buy the spray MAF sensor cleaner from any auto parts store for about $6.00, ask the parts guy how to use it.

open curcuit in crank sensor replace it.

most likely the fuel pressure is just low enough to run but sputter on an incline