Question

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

(Class - 9)

Answer 1

⇒ 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.

Answer 2

Answer:

The acceleration a of particle starting from rest varies with time according to relation a=αt+β.

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