The displacement of a particle is represented by the equation 
. The motion of the particle is
A
simple harmonic with period 
B
simple harmonic with period 
C
periodic but not simple harmonic
D
non-periodic
Text Solution
Verified by ExpertsThe correct answer is:
B
As given that, 
Velocity of the particle
So, acceleration,
In simple harmonic motion acceleration (or force) is directly proportional to the negative of displacement of particle 
as acceleration, 
Hence, due to negative sign motion is simple harmonic motion (SHM.)
A simple harmonic motion is always periodic. So motion is periodic simple harmonic.
From the given equation,
Compare it by standard equation
So, 
Hence, the motion is SHM with period 
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