A frictionless spring with a 4-kg mass can be held stretched 2 meters beyond its natural length by a force of 100 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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Find the position of the mass after t seconds

A frictionless spring with a 4-kg mass can be held stretched 2 meters beyond its natural length by a force of 100 newtons. If the spring begins at
its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds.
Transcribed Image Text:A frictionless spring with a 4-kg mass can be held stretched 2 meters beyond its natural length by a force of 100 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds.
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