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Q.

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

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a

3 m/s

b

π m/s

c

1.53 m/s

d

23 m/s

answer is C.

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Detailed Solution

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Displacement =2Rsin⁡θ2=2Rsin⁡60∘=3R
Distance (l) =2πR3∵θ=ℓR2π3=ℓR
Time (t)=lv
Time (t)=2πR3π=2R3
Average velocity =3R2R3
⟨v⟩=332=1.53m/s

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