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Suppose that two objects A and B are moving with velocities `vecv_(A)` and `vecv_(B)` (each with respect to some common frame of refrence). Let `vecv_(AB)` represent the velocity of with respect to B. ThenA. `vecv_(AB) + vecv_(BA) = 0`B. `vecv_(AB) - vecv_(BA) = 0`C. `vecv_(AB) = vecv_(A) + vecv_(B)`D. `|vecv_(AB)| ne |vecv_(BA)|` |
Answer» Correct Answer - A Velocity of object A relative to that of B is `vecv_(AB) = vecv_(A) - vecv_(B)` Velocity of object B relative to that of A is `vecv_(BA) = vecv_(B) - vecv_(A)` `therefore vecv_(AB) = -vecv_(BA) and |vecv_(AB)| = |vecv_(BA)|` |
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