The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:
1. \(\frac{3\pi}{2}\text{rad}\)
2. \(\frac{\pi}{2}\text{rad}\)
3. zero
4. \(\pi ~\text{rad}\)

The displacement of a particle executing simple harmonic motion is given by,

$y=A_0+A$ $\sin \omega t$ $+$ $B$ $\cos \omega t.$
Then the amplitude of its oscillation is given by:
1. $A+B$
2. $A_0$ $+$ $\sqrt{A^2+B^2}$
3. $\sqrt{A^2+B^2}$
4. $\sqrt{A_0^2}$ $+$ $(A+B{)}^2$

The average velocity of a particle executing SHM in one complete vibration is:
1. zero
2. $\frac{A\omega }{2}$
3. $A\omega$
4. $\frac{A{\omega }^2}{2}$

The distance covered by a particle undergoing SHM in one time period is: (amplitude = A)
1. zero
2. A
3. 2 A
4. 4 A