How Does Amplitude Affect Total Distance Traveled in SHM?

[Shiina-kun]

Vibrations and Waves - please help!

I'm having trouble with my physics homework. I can't seem to figure out which formula to use to solve a particular problem.

"If a particle undergoes SHM with amplitude 0.25m, what is the total distance it travels in one period?"

The formulas I have that deal with amplitude are:

$$V$$= $$\pm$$$$V{o}$$$$\sqrt{1 - x^{2}/A^{2}}$$

$$V$$=$$A\sqrt{k/m}$$

x=$$Acos2$$* $$\pi$$(frequency)t​

I don't know which formula to use because it seems like I don't have enough information for any of them. Could someone please tell me which formula to use and why?

 

[la_diabla]

A=4(pi)r^2
so r=sqrt(A/4pi)

your A=0.25
so:
r=sqrt(0.25m/12.57)=.020m