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JEE Main & Advanced Physics Vectors Question Bank Relative Velocity

  • question_answer
    A boat is moving with a velocity \[3\hat{i}+\text{ }4\hat{j}\]with respect to ground. The water in the river is moving with a velocity \[\text{ }3\hat{i}4\hat{j}\] with respect to ground. The relative velocity of the boat with respect to water is                                                [CPMT 1998]

    A)                 \[8\hat{j}\]        

    B)                 \[\text{ }6\hat{i}\text{ }8\hat{j}\]

    C)                 \[6\hat{i}+8\hat{j}\]

    D)                             \[5\sqrt{2}\]

    Correct Answer: C

    Solution :

                    Relative velocity \[=\text{ }\left( 3\hat{i}+4\hat{j} \right)\left( \text{ }3\hat{i}\text{ }4\hat{j} \right)~=\text{ }6\hat{i}~+\text{ }8\hat{j}\]


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