# Find the maximum acceleration and accleration of a mass spring system.

## Homework Statement

The problem states to find the maximum acceleration and velocity, the accleration and velocity when the displacement (x) is 1.00cm, and the equation of motion as a function of time if the displacement is A (amplitude) at t=0. We're given that the period (T) is 0.500s and the amplitude is 2.00cm with a total path length of 4.00 cm.

## Homework Equations

Position as a function of time is given as x=cos(2$\pi$ft)
(v)max = 2$\pi$Af
A/(v) max = $\sqrt{m/k}$
k(spring constant) = m(2$\pi$f)^2

## The Attempt at a Solution

I found the frequency by take 1/0.50 to get 2 Hz. I then plugged into the (v) max equation to get 25.1 m/s. However, how do I find the spring constant and mass which I need to solve for acceleration? I really don't know how to approach this problem.