derive relative vetocity and relative displacement
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The relative velocity {\displaystyle {\vec {v}}_{B\mid A}}{\displaystyle {\vec {v}}_{B\mid A}} (also {\displaystyle {\vec {v}}_{BA}}{\displaystyle {\vec {v}}_{BA}} or {\displaystyle {\vec {v}}_{B\operatorname {rel} A}}{\displaystyle {\vec {v}}_{B\operatorname {rel} A}}) is the velocity of an object or observer B in the rest frame of another object or observer A.
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