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Questions  

A particle moves so 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→=(Acos⁡ωti^+Asin⁡ωtj^) in v→=dr→dt we have v→=Addt(cos⁡ωt)i^+Addt(sin⁡ωt)j^=−Aωsin⁡ωti^+Aωcos⁡ωtj^ At  t=0,v=−Aωsin⁡0i^+Aωcos⁡0j^=Aωj^

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