A particle moves in the x-y plane according to the equation
       $x = A \cos^2 \omega t$ and $y = A \sin^2 \omega t$
Then, the particle undergoes:

The equation of motion of a particle that starts moving at $t=0$ s is given by ${x}=5 \sin \left(\dfrac{\pi t}{2}+\dfrac{\pi}{3}\right)$ where $x$ is in cm and time $t$ is in second. The time, when the particle first comes to rest, is: