Chapter 6.6, Problem 26E

SKILLS

21-28. Damped Harmonic Motion An initial amplitude $k$, damping constant $c$ and frequency $f$ or period $p$ are given. (Recall that frequency and period are related by the equation $f=1/p$.)

(a) Find a function that models the damped harmonic motion. Use a function of the form $y=k{e}^{ct}\cos \omega t$ in Exercises 21-24 and of the form $y=k{e}^{-ct}\sin \omega t$ in Exercises 25-28.

(b) Graph the function.

$k=1$, $c=1$, $p=1$