$A$ particle executes simple harmonic motion with an amplitude '$A$'. The distance travelled by it in one periodic time is

The displacement of a particle along the $x$ axis is given by $x = a \sin^2 \omega t$. The motion of the particle corresponds to

An artificial satellite is orbiting the Earth. Is its circular motion a simple harmonic motion?

Select the wrong statement about simple harmonic motion $(S.H.M.)$.

$Assertion :$ In simple harmonic motion,the motion is to and fro and periodic.
$Reason :$ Velocity of the particle $(v) = \omega \sqrt {A^2 - x^2}$ (where $x$ is the displacement and $A$ is the amplitude).

The radius of the circle,the period of revolution,the initial position,and the sense of revolution are indicated in the figure. The $y$-projection of the radius vector of the rotating particle $P$ is: