How does the velocity and acceleration of long length stick or rod varies according to its length?

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Let's say I have stick or rod of length $L$.

I am moving the stick using my hand and the motion is not circular or spherical. The motion may be oval or some other shape, because while moving the stick I may fold my hand so total length may vary.

If I know the acceleration $a_x$, $a_y$, $a_z$, angular velocity and linear velocity of the base $P$ of the stick from where I grab the stick. Is it possible to know the acceleration and velocity of stick at the end point $Q$, as shown in the following image here?