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Questions  

A particle moves in such a way that its position vector varies with time as r=Acosωti^+Asinωtj^. The initial velocity of the particle is

a
Aωi^
b
Aωj^
c
Aω(i^+j^)
d
Aω(i^-j^)

detailed solution

Correct option is B

Substituting r→ = Acosωti^+Asinωtj^In  v→ = dr→dt  we  have v→ = Addtcosωti^+Addtsin ωtj^                                               =  −Aωsinωti^+Aωcosωt j^At  t = 0,  v = −Aωsin 0i^+Aωcos0j^  =   Aωj^

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