A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be

Which one of the following equations of motion represents simple harmonic motion ?

where k, k₀, k₁ and a are all positive.

Two simple harmonic motions of angular frequency 100 and 1000 rad s^$$-$$1 have the same displacement amplitude. The ratio of their maximum acceleration is

A particle executes simple harmonic oscillation with an amplitude $$a$$. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is