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Physics Question on speed and velocity

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.
A car covers AB distance with first

Answer

vmean=3v1v2v3v1v2+v2v3+v3v1v_{\text{mean}} = \frac{3v_1v_2v_3}{v_1v_2 + v_2v_3 + v_3v_1}

3×11×22×3311×22+22×33+33×11\frac{3 \times 11 \times 22 \times 33}{11 \times 22 + 22 \times 33 + 33 \times 11}

=18= 18 m/sec