The motion of a particle is described relative to some frame of reference, such as the ground. We can describe the motion of the same particle with respect to some other frame as well, such as with respect to a moving car.
If Position vector of particle with respect to ground
and position vector of particle with respect to ground
Now velocity of particle relative to the particle is written as
Here velocity of with respect to ground
velocity of with respect to ground
Once again acceleration of particle relative to the particle is written as
where and are the acceleration of particle and with respect to ground respectively.
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