SOLUTION: A hanging spring is compressed 3 inches from its rest position and released at t = 0 seconds. It returns to the same position after 0.8 seconds. Find: a) the amplitude of t

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Question 1117620: A hanging spring is compressed 3 inches from its rest position and released at t = 0 seconds. It returns to the same position after 0.8 seconds.
Find:
a) the amplitude of the motion

b) the period of the motion

c) the frequency of the motion

d) a function that models the displacement, y, of the end of the spring from the rest position at time, t.

e) the displacement from the rest position at t= 3 min rounded to the tenths place

Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
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a)amplitude is the distance between the midline of a wave and its crest or trough:
3/2 = 1.5 inches
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b) The period T is the time it takes a wave to complete one cycle:
T = 0.8s
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c) A wave's frequency f is the number of cycles that are completed in a certain amount of time:
1/0.8 = f 1.25 Hz

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
The amplitude is 3 inches, with no doubts.