Velocity of a Spring- largest, smallest?

Question

At which point(s) does the mass on a vibrating spring have its largest velocity? Smallest velocity?


Or if anyone knows the answer to either of these questions, much appreciated as well. Our physics teacher isn't the best at explaining things.

If the amplitude of the vibration of the spring is doubled, what happens to the period?

If a stiffer spring were used so that the spring constant were 4 times as great, how would the frequency and period be affected?

Answer 1

1. At the limits of travel the velocity is zero. At the midway points the velocities are maximum.

2. Increasing amplitudes increases the velocities and the accelerations but the period is unchanged.

3. The stiffer spring will increase the frequency (X 4)and reduce the period to one forth.