A car travels 30 m in 2 seconds and then 40 m in another 3 seconds in the same direction. What is its average speed?

The displacement of a particle performing simple harmonic motion is given by, $x = 8\,\,\sin \,\,\omega t + 6\cos \omega t,$ where distance is in cm and time is in second. The amplitude of motion is

A particle executes SHM in a line 4 cm long. Its velocity when passing through the centre of line is $12cm/s$ . The period will be

A particle is performing simple harmonic motion with amplitude $A$ and angular velocity $\omega$ . The ratio of maximum velocity to maximum acceleration is

Which of the following combination of Lissajous’ figure will be like eight (8)?

The displacement y of a particle executing periodic motion is given by $y = 4{\cos ^2}\left( {t/2} \right)\sin \left( {1000t} \right)$ . This expression may be considered to be a result of the superposition of…….. independent harmonic motions

A S.H.M. has amplitude $'a'$ and time period $T$.The maximum velocity will be

The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:

A simple pendulum swings back and forth. What is its average velocity over one complete swing?

The minimum phase difference between two simple harmonic oscillations, ${y_1} = \frac{1}{2}\sin \,\,\omega t + \frac{{\sqrt 3 }}{2}\cos \,\,\omega t$ ${y_2} = \sin \,\,\omega t + \cos \,\,\omega t,$ is

If the maximum acceleration of a $SHM$ is $\alpha$ and the maximum velocity is $\beta$, then the amplitude of vibration is