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**[SOLVED] Simple Harmonic**

## Homework Statement

A 1.00 kg object is attached to a spring and placed on a horizontal, smooth surface. A horizontal force of 19.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest with an initial position of xi = 0.200 m, and it subsequently undergoes simple harmonic oscillations.

(f) Find the speed of the object when its position is equal to one third of the maximum value.

(g) Find the acceleration of the object when its position is equal to one third of the maximum value.

## The Attempt at a Solution

I have solved for w, and to find F) I used the conservation of energy to find the velocity. My question then is how to I find part G)?

Can I do: a = w^2(1/3*A) which gives me a correct answer.

However if I use the same method to find v: v= w(1/3*A) I get a wrong answer. Can anyone tell me why this is and if I need to use another method to solve for a.