Q:

The displacement h(t) in centimeters of a mass suspended by a spring is modeled by the function h(t) = 1/4sin(120(pi)t), where t is measured in seconds. Find the amplitude, period, and frequency of this displacement.Please help!

Accepted Solution

A:
Amplitude is the first value given = 1/4Frequency is found using: ω  = 2(pi)fω is given in the equation as 120 piSolve for f:120PI = 2PIff = 120pi / 2PIf = 60Frequency = 60The period is the reciprocal of the frequency:Period = 1/60