Kinematics Question 65

Question: Assertion : Relative velocity of A w.r.t. b is greater than the velocity of either, when they are moving in opposite directions. Reason : Relative velocity of A w.r.t. $ B={{\vec{v}} _{A}}-{{\vec{v}} _{B}} $

Options:

A) If both assertion and reason are true and the reason is the correct explanation of the assertion.

B) If both assertion and reason are true but reason is not the correct explanation of the assertion.

C) If assertion is true but reason is false.

D) If the assertion and reason both are false.

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Answer:

Correct Answer: A

Solution:

Since velocities are in opposite direction,

therefore $ v _{AB}=|{{\vec{v}} _{A}}-{{\vec{v}} _{B}}|=v _{A}+v _{B} $ .

Which is greater than $ v _{A} $ or $ v _{B} $



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