A particle obeys x = A sinωt. At an instant it is at x=A/2 and moving in +x direction. Its instantaneous velocity is:
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A particle obeys x = A sinωt. At an instant it is at x=A/2 and moving in +x direction. Its instantaneous velocity is:

G1 Physics · Accepted Answer

x=A sinωt=A/2 ⇒ sinωt=1/2. Since the particle is moving in +x direction, cosωt>0. Thus cosωt = √3/2. v = Aωcosωt = √3Aω/2.