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Question
Can different bodies have different velocity but have same acceleration

Answer
Hello Akhil,

Yes they can, it is not an unusual situation.

One example: drop 2 objects (dense objects - meaning neither can be a feather). Drop one after the other, m1 at time t=0 and m2 at t=1 s. We will ignore air drag which is a valid approximation until speed increases significantly (so within the first few seconds).
At time t=3 s their speeds will be
mass m1: Vf1 = Vi + a*t = 0 + 9.8 m/s^2*3 s = 29.4 m/s
mass m2: Vf2 = Vi + a*t = 0 + 9.8 m/s^2*(3-1) s = 19.6 m/s

So at time t=3 s, both objects are experiencing acceleration of 9.8 m/s^2 but m1's velocity is 29.4 m/s and m2's velocity is 19.6 m/s.

I hope this helps,
Steve

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Steve Johnson

Expertise

I would be delighted to help with questions up through the first year of college Physics. Particularly Electricity, Electronics and Newtonian Mechanics (motion, acceleration etc.). I decline questions on relativity and Atomic Physics. I also could discuss the Space Shuttle and space flight in general.

Experience

I have a BS in Physics and an MS in Electrical Engineering. I am retired now. My professional career was in Electrical Engineering with considerable time spent working with accelerometers, gyroscopes and flight dynamics (Physics related topics) while working on the Space Shuttle. I gave formal classroom lessons to technical co-workers periodically over a several year period.

Education/Credentials
BS Physics, North Dakota State University
MS Electrical Engineering, North Dakota State University

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