# Find maximum velocity

1. Oct 29, 2007

### camherokid

1. The problem statement, all variables and given/known data

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

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

3. The attempt at a solution
Find a from
F=xK = ma
is the Velocity = a/t(period)?

2. Oct 29, 2007

### 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.

3. Oct 29, 2007

### Kurdt

Staff Emeritus
The velocity is given by the first derivative as usual.