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Questions  

The acceleration of a particle, starting from 'rest, varies with time according to the relation
a=2sinωt
The displacement of this particle at a time f will be

a
s sin⁡ωt
b
sωcos⁡ωt
c
sωsin⁡ωt
d
−12sω2sin⁡ωtt2

detailed solution

Correct option is A

a=d2xdt2=−sω2sin⁡ωtIntegrating, dxdt=sω2cos⁡ωtω=sωcos⁡ωtand x=sωsin⁡ωtω=ssin⁡ωt

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