QUESTION---The acceleration of a particle, given by relation,
a= -5w^2 sin(wt). At t = 0, X = 0 and v= 5w. The
displacement of this paticle at time t will be
(1) -5 sin(wt)
(2) 5 sin(wt)
(3) 5 cos(wt)
(4) -5 cos(wt)
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hey see the attached solution
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Given that,
The equation of acceleration is
We need to calculate the displacement of this particle at time t
Using equation of acceleration
On integrating
At t = 0, v = 5ω
Put the value of C
On integrating again
At t=0, x = 0
Put the value of C
Hence, The displacement of this particle at time t is
(2) is correct option
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