A particle moves on the `X-`axis according to the equation `x = x_(0) sin^(2)omegat`. The motion is simple harmonic

Explanation

Equation is `x = x_(0) sin^(2) omega t`
`rArr x = x_(0) ((1-cos 2 omega t))/(2)`
`x = (x_(0))/(2)-(x_(0))/(2) cos 2 omega t`
From this equation, it is clear that the motion is SHM and initial position of particle is `(x_(0))/(2)`. Its amplitude is `(x_(0))/(2)` and angular frequency `omega. = 2 omega`
`(2pi)/(T) = 2 omega" "rArr T = (pi)/(omega)`