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The acceleration of a particle starting from rest, varies with time according to the relation A = aω² sinωt. The displacement of this particle at a time t

will be (A) -½(aω² sinω t)t² (B) aω sinω t (C) aω cos ω t (D) a sin ω t

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Solutions

The acceleration of a particle starting from rest, varies with time according to the relation A = aω² sinωt. The displacement of this particle at a time (t). For the question you are using the Simple Harmonic Motion Aptitude so those formulas include x = A sin ωt and x = A cos ω. If we plug in the information we are given into these equations then we get (D) a sin ω t as our answer.