How Is Maximum Velocity Calculated for a Mass on a Spring?

[camherokid]

Homework Statement

1Kg mass connected to a horizontal spring with a period of 2.25s .
Find maximum velocity , if amplitude is 6.00cm ?

Homework Equations

Find K using T= 2pi squroot(m/k)

The Attempt at a Solution

Find a from
F=xK = ma
is the Velocity = a/t(period)?

 

[hotcommodity]

This is a case of simple harmonic motion. We can find the displacement of the mass by using the equation $$x = Asin(\omega_0t + \phi)$$. You'll want to find the double derivative of this equation to find the maximum velocity of the mass.

 

[Kurdt]

The velocity is given by the first derivative as usual.