A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8 sin(8t) lb. If the mass is pulled down 3 in. and then released, determine the position u(t) in ft of the mass at any time t in seconds. NOTE: Assume that the u-aris is directed downwards. u(t) Determine the first four times at which the velocity of the mass is zero. NOTE: Enter the eract answers and exclude t = 0 as trivial. The first four times the velocity is zero are t =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A mass that weighs 8 lb stretches a spring 48 in. The system is acted
on by an external force of 8 sin(8t) lb. If the mass is pulled down 3 in.
and then released, determine the position u(t) in ft of the mass at
any time t in seconds.
NOTE: Assume that the u-aris is directed downwards.
u(t)
Determine the first four times at which the velocity of the mass is zero.
NOTE: Enter the eract answers and exclude t = 0 as trivial.
The first four times the velocity is zero are
t =
Transcribed Image Text:A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8 sin(8t) lb. If the mass is pulled down 3 in. and then released, determine the position u(t) in ft of the mass at any time t in seconds. NOTE: Assume that the u-aris is directed downwards. u(t) Determine the first four times at which the velocity of the mass is zero. NOTE: Enter the eract answers and exclude t = 0 as trivial. The first four times the velocity is zero are t =
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