my car is shaking and vibrating and it gets worse when i accelerate.

It could be the stabalizer links or front control arms

Check your ball joints, inner and outer tie rods. I have also seen bad engine mounts and a worn out CV drive shaft cause this problem. Have the tires beens balanced lately?? Hope this helps.

Timing Belt?? This is what the manual says to look out for.

The used to have a warning sign when one goes over speed limit the car starts to shake. So you stay at speed limit.

I have now test driven all models several times different dealerships and all have the vibration except for the SR model which has Goodyear lower profile tires and has a different suspension , all other models have Continental tires, so its tires or suspension

It’s the engine mounts. The front and rear are awful to replace but if not done soon it will cause damage to mounts on passenger side and also the passenger CV Joint. Until then it will vibrate under acceleration and get worse if there are passengers in the car. You will also notice it go away when the car lifts up every time you go over a dip in the road.