A spring is attached to the ceiling and pulled 6 cm down fro

A spring is attached to the ceiling and pulled 6 cm down from equilibrium and released. The amplitude decreases by 14% each second. The spring oscillates 11 times each second. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t.

Solution

the initial amplitude is 6 cm

decreased by 14% each second that is (0.84)^t, where t is in second

spring oscillates 11 times each second

therfore D(t)=6*(0.84)^t*cos(11*2pi*t)=6*(0.84)^t*cos(22pi*t)