# Damped Oscillation question

## Homework Statement

The amplitude of an oscillator decreases to 36.8% of its initial value in 10.0 s. What is the value of the time constant?

## Homework Equations

xmax=Ae^-bt/2m
Time constant= m/b
xmax(t)= Ae^-t/2(timeconstant)

## The Attempt at a Solution

I'm not quite sure where to start with this... because the intitial value isn't known so how would I even get the amplitude?

I found a solution that used A(t)=A(0)e^(-kt) and did this: 0.368A(0)=A(0)e^(-10k) and solved for k, however that wasn't right and I'm wondering why they even thought to use that equation.. is it right?

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