Welcome to 2CarPros.
Many things can cause a vibration, but since you feel it under acceleration, the first thing I suggest checking are the universal joints on the drive shaft. If they are worn or bad, the will cause a vibration.
Here is a link that discusses what a U-joint is and how to check one. Check this first and let me know what you find.
https://www.2carpros.com/articles/how-u-joints-work
Take care,
Joe
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Sunday, September 22nd, 2019 AT 8:25 PM