JEE MAIN - Physics (2022 - 28th June Evening Shift - No. 28)
A car covers AB distance with first one-third at velocity v1 ms$$-$$1, second one-third at v2 ms$$-$$1 and last one-third at v3 ms$$-$$1. If v3 = 3v1, v2 = 2v1 and v1 = 11 ms$$-$$1 then the average velocity of the car is _____________ ms$$-$$1.
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Answer
18
Explanation
$${v_{mean}} = {{3{v_1}{v_2}{v_3}} \over {{v_1}{v_2} + {v_2}{v_3} + {v_3}{v_1}}}$$
$$ = {{3 \times 11 \times 22 \times 33} \over {11 \times 22 + 22 \times 33 + 33 \times 11}}$$
$$ = 18$$ m/sec
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