An object is suspended from the end of a spring. Its displacement, in cm, from the starting position is s(t) = 8sin(10t) where t is in seconds. Calculate the average rate of change in displacement of the object on the interval t = 1 second to t = 3 seconds. Include units. (a) Estimate the instantaneous rate of change in displacement of the object att = 2 seconds. Include units. (b)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
An object is suspended from the end of a spring. Its displacement, in cm,
from the starting position is s(t) = 8 sin(10) where t is in seconds.
Calculate the average rate of change in displacement of the object on
the interval t = 1 second to t = 3 seconds. Include units.
(a)
(b)
Estimate the instantaneous rate of change in displacement of the object
att = 2 seconds. Include units.
Transcribed Image Text:An object is suspended from the end of a spring. Its displacement, in cm, from the starting position is s(t) = 8 sin(10) where t is in seconds. Calculate the average rate of change in displacement of the object on the interval t = 1 second to t = 3 seconds. Include units. (a) (b) Estimate the instantaneous rate of change in displacement of the object att = 2 seconds. Include units.
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