Could be in need of a tune up.
Only when accelerating, I would suspect a broken motor mount or bad CV joint.
If your car shakes while accelerating check your motor mounts. Then check your transmission.
Either your front end or your tires needs to be aligned.
Normally a bent wheel or tire out of balance.
could be the electronics (garage job) or it could be the alternator (but unlikely because its a new car)
The tires may need alignment if it pulls to one side and or the wheels may need to be balanced
The transmission is not shifting in and out of gear or your front joint is going bad
I just fixed this problem on my own car, and it was that the rubber part on both the right side motor mounts was broken, so it would shake and make a loud noise when in drive and especially while accelerating. Depending on your car, you might be able to check for yourself, at least on a top side mount.
Your front, left or right axle needs to be replaced.
What is a "flapping sound" Birds?
noise and jolting is present whilst car is idolling and accelerating
Frame of reference is the measurement or observation that tells you that a car is accelerating. It uses the second law of motion to tell you rather or not the car is accelerating.