yes
Shake the vechicle
Yes, it is possible.
Cylinder miss, broken motor mount, or vacuum leak.
Is the car running ok? If yes and its only the vibration that's an issue most likely cause is motor mount(s)
Engine miss or rough idle, or broken motor mount
Only when accelerating, I would suspect a broken motor mount or bad CV joint.
rubber bushings in motor mount worn
loose motor mount(s), tire out of balance, bent wheel, driveshaft bent, or CV joins worn.
your problem is yu have a broken motor mount that will make the car shake when you start it and step on it
the gears have to readjust from the stop position. It is also possible that you have a broken motor mount and the car shakes when you hit the gas because the motor shifts position when the torque increases.
no that would be a mount or a tire or a rim.