A 30 foot ladder is resting against a vertical wall, with its other end on horizontal ground, with the top of the ladder initially 24 feet above the ground. The end of the ladder in contact with the wall slips down the wall at a constant rate of 2 feet per second. How fast is the lower end of the ladder moving away from the base of the wall after 3 seconds and what is the acceleration of the lower end at that time?

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 30 foot ladder is resting against a vertical wall, with its other
end on horizontal ground, with the top of the ladder initially 24
feet above the ground.
The end of the ladder in contact with the wall slips down the
wall at a constant rate of 2 feet per second.
How fast is the lower end of the ladder moving away from the
base of the wall after 3 seconds and what is the acceleration of
the lower end at that time? 

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