Free response·Hard exam skill (4/5)·No calculatorNeeds mentor review
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
A -ft ladder leans against a vertical wall. The bottom of the ladder moves away from the wall at ft/s. Let be the bottom's distance from the wall and be the top's height.
Total: 6 points
(a) Write an equation relating and , then differentiate it with respect to time. (2 points)
(b) Find when the bottom of the ladder is 6 ft from the wall. (2 points)
(c) At that instant, is the top of the ladder moving faster or slower than the bottom? Justify your answer. (2 points)
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