A small frictionless cart, attached to the wallby a spring, is pulled 10 cm from its rest position and released attime t = 0 to roll back and forth for 4 sec. Its position at time t iss = 10 cos π. What is the cart’s maximum speed? When is the cart moving that fast? Where is it then? What is the magnitude of the acceleration then?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A small frictionless cart, attached to the wall
by a spring, is pulled 10 cm from its rest position and released at
time t = 0 to roll back and forth for 4 sec. Its position at time t is
s = 10 cos π. What is the cart’s maximum speed? When is the cart moving
that fast? Where is it then? What is the magnitude of the
acceleration then?

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