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Block B moves to the right with a constant velocityV₀ the velocity of the body A relative to B
is

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\frac{V_{0}}{2} t o w a r d s l e f t

\frac{V_{0}}{2} t o w a r d s r i g h t

\frac{{3V}_{0}}{2} t o w a r d s l e f t

\frac{{3V}_{0}}{2} t o w a r d s r i g h t

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detailed solution

Correct option is B

$3 T V_{B} = 2 T \times V_{A} V_{A} = \frac{3}{2} V_{B} V_{AB} = V_{A} - V_{B} = (\frac{3}{2} - 1) V_{B} V_{AB} = \frac{1}{2} V_{0} towards right$

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Block B moves to the right with a constant velocityV0 the velocity of the body A relative to B is