why is not zero in the circular motion even if displacement is zero? velocity
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This question is very important because it demonstrates the current uselessness of most high school physics courses that teach that velocity is the average produced by dividing the final displacement by the total time elapsed and acceleration is the average produced by dividing the final velocity difference by the time elapsed and that these linear algebraic relationships can be reversed to solve for displacement. These courses are useless because all such calculations are now done by algorithms and humans are paid only to use the much more complicated vector calculus (and/or linear algebra) solutions that much more accurately predict future outcomes. It is almost impossible to grasp the directional acceleration of rotational motion if only the average algebraic equations are taught. Instead, students are asked to simply accept that something called omega, when multiplied by the length of a radius, will magically produce an answer that the rest of us know to be simply the scalar magnitude of a vector.
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