The amplitude of a block–spring oscillator decreases by after every complete…

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The amplitude of a block–spring oscillator decreases by

20\%

after every complete oscillation because of air resistance. If its initial amplitude is

10\,\text{cm}

, calculate the amplitude after three complete oscillations.