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Suppose that two objects A and B are mo...

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 A with respect to B. Then

A

`vecv_(AB) + vecv_(BA) = 0`

B

`vecv_(AB) - vecv_(BA) = 0`

C

`vecv_(AB) = vecv_(A) + vecv_(B)`

D

`|vecv_(AB)| ne |vecv_(BA)|`

Text Solution

Verified by Experts

The correct Answer is:
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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Knowledge Check

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