Displacement vs distance traveled in simple harmonic motion over three periods

[blazeuofa]

Homework Statement

A mass on a spring undergoes simple harmonic motion with amplitude A.
a) In a time equal to three periods, what is the magnitude of the displacement of the mass?
b) In a time equal to three periods, what actual distance did it travel?

Homework Equations

The Attempt at a Solution

 

[rock.freak667]

and your attempt is where?

Start with the equation for simple harmonic motion.

 

[blazeuofa]

So for a time equal to 3 periods...$$\omega$$=2$$\pi$$/3=2.09

so T=2$$\pi$$/2.09=3.01s


Please help I'm so lost :(