A block on a spring is pulled down and then released. Its position equation is given by s(t) = -4 cos(nt), where t represents the time in seconds after being released, and s is in inches, where s = 0 represents the resting position of the block. a. Find the velocity function. When will the block have the greatest velocity? Does this match what you expect practically (explain)? b. Find the acceleration function. In the first period of motion, when is the block speeding up and slowing down?

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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3) A block on a spring is pulled down and then released. Its position equation is given
by s(t) = -4 cos(nt), where t represents the time in seconds after being released,
and s is in inches, where s = 0 represents the resting position of the block.
a. Find the velocity function. When will the block have the greatest velocity?
Does this match what you expect practically (explain)?
b. Find the acceleration function. In the first period of motion, when is the block
speeding up and slowing down?
Transcribed Image Text:3) A block on a spring is pulled down and then released. Its position equation is given by s(t) = -4 cos(nt), where t represents the time in seconds after being released, and s is in inches, where s = 0 represents the resting position of the block. a. Find the velocity function. When will the block have the greatest velocity? Does this match what you expect practically (explain)? b. Find the acceleration function. In the first period of motion, when is the block speeding up and slowing down?
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