The displacement of a particle executing SHM is given by y = 0.25 (sin 200t) cm. The maximum speed of the particles is:

1.  200 cm/sec

2.  100 cm/sec

3.  50 cm/sec

4.  0.25 cm/sec

A particle undergoes SHM with a time period of 2 seconds. In how much time will it travel from its mean position to a displacement equal to half of its amplitude?

1. $\frac{1}{2}s$

2. $\frac{1}{6}s$

3. $\frac{1}{4}s$

4. $\frac{1}{3}s$

A second's pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket:

1. Comes down with uniform acceleration

2. Moves around the earth in a geostationary orbit

3. Moves up with a uniform velocity

4. Moves up with the uniform acceleration