As shown in the figure, a particle is moving with constant speed m/s. Considering its motion from A to B, the magnitude of the average velocity is [2023]

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Solution

Q.
As shown in the figure, a particle is moving with constant speed $π$ m/s. Considering its motion from A to B, the magnitude of the average velocity is [2023]

1 $π$ m/s

2 $\sqrt{3}$ m/s

3 $2 \sqrt{3}$ m/s

4 $1.5 \sqrt{3}$ m/s

Ans.
(4)

$| < \vec{v} > |$ $= \frac{| {\vec{r}}_{f} - {\vec{r}}_{i} |}{Δ t}$

$= \frac{2 R \cos [\frac{π - θ}{2}]}{\frac{2 π R}{3 v}} = 3 \cos 30 ° = 1.5 \sqrt{3}$ $m/s$

Correct option is (4)

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