Two bodies A and B are travelling with constant velocities of 20m/s and 30m/s in East and North directions. The relative velocity of A with respect to B is
A
10√13m/s in the E-S quadrant
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B
10√13m/s in the E-N quadrant
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C
10√13m/s in the W-S quadrant
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D
10√13m/s in the W-N quadrant
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Solution
The correct option is A10√13m/s in the E-S quadrant →vAB=→vA−→vB=20^i−30^j ∣∣→vAB∣∣=√202+302=10√13m/s
The direction of the resultant is given by tanθ=−3020=−56.3
The negative angle comes in the East-South quandrant. Hence the correct option is (a).