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?

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?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.3: Vectors In The Plane

Problem 11ECP

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Question

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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